In this video I go further into L'Hospital's Rule and show that you can easily re-arrange indeterminate differences to get them in the form of an indeterminate quotient so that you can apply L'Hospital's Rule to determine the limit.
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIibZDcXng7jk_j-HCqg?e=78KTQD
View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/lhospitals-rule-indeterminate-differences
Related Videos:
L'Hospital's Rule - Indeterminate Products, ex. 0*∞ or 0 * infinite: http://youtu.be/LOQ9wUUxoPA
L'Hospital's Rule - A general Proof: http://youtu.be/FhFWfVUBXC4
L'Hospital's Rule and Indeterminate Forms - Intro: http://youtu.be/x-djc6wrY5w
What are Limits? A Simple Explanation: http://youtu.be/FbV7TzlkTZk
Definition of Derivative Simple Explanation: http://youtu.be/0rjGMpM06Eg
Derivative of y = Log(x) and y = Ln(x): http://youtu.be/5e6MisvvMPE
Derivative of y = x^n - Part 2: General Power Rule: http://youtu.be/Ibvu33oh49o
L'Hospital's Rule - Limits Examples: http://youtu.be/4zOtC2iwRAU .
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In this video I go over the precise definition of an infinite limit for both positive and negative infinity. The definition is very similar to that of a general limit so make sure to watch the precise definition of a limit in the related videos below.
Download the notes in my video: https://www.dropbox.com/s/pupvyswv4gti2jw/302%20-%20Infinite%20Limits%20Precise%20Definition.pdf
Related Videos:
Precise Definition of a Limit: http://youtu.be/zOWuWE4M2rkq
Types of Intervals - Closed vs Open Intervals: http://youtu.be/wGthQDEixcw
Infinite Limits: Horizontal and Vertical Asymptote Lines and VERY Useful Examples: http://youtu.be/__Y6IRcwdP8 .
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https://www.youtube.com/watch?v=QyVTgSzn7dE
Last year I did an overview video on continuity and continuous functions but did not go through in too much detail so I have done just that in this video. In this video I go over what it means for a function to be continuous as well as illustrate several cases when a function is discontinuous or not continuous.
Download the notes in my video:
https://www.dropbox.com/s/sfxgqcgengk9yee/305%20-%20Continuity.pdf
Related Videos:
Continuity and Open and Closed Intervals: http://youtu.be/u29fd3WYT-g
One Sided Limits - Plus Examples: http://youtu.be/QA2v_NCej10
Limits - Examples Part 2 - One Sided Limits Approach: http://youtu.be/9O6UFASe4F8
Precise Definition of a Limit: http://youtu.be/zOWuWE4M2rkq .
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https://www.youtube.com/watch?v=_tBGb7Ku-CM
In this video I explore in depth the methodology of dividing 2 numbers together and break the method down digit by digit and show how to deal with a large number of decimal places. This video is very important in understanding how basic math principles such as dividing have concrete and systematic ways of calculating.
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIicNLQGM78OToCY449Q?e=tcebri
View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/long-division-by-hand
Related Videos:
Addition and Subtraction by Hand - An in-depth look: http://youtu.be/Tkb7xU-lFWU
Multiplication by Hand - In depth look at the wonderful world of multiplication: http://youtu.be/bUKGh5R_0Sw .
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In this video I go through a very interesting topic, the triangle inequality. Basically the triangle inequality states: the absolute value of (a+b) is less than equal to the absolute value of a plus the absolute value of b. In the video, I illustrate this rule and provide a proof as well as an example on it. If you ever come across the triangle inequality, make sure you watch this video!
Download the notes in my video: https://www.dropbox.com/s/yzxlm5ha1druwy6/250%20-%20Triangle%20Inequality.pdf
Related Videos:
Absolute Values - Properties and Rules: http://youtu.be/tl9iten87MU
Absolute Values - Examples: http://youtu.be/WSbjNr1Liw8
Inequalities - Summary of Rules: http://youtu.be/Cyd8kNb_HyM
Inequalities - Examples: http://youtu.be/VtZhqlwdNhg
Microsoft Excel Tips: -2^2 = +4 and NOT -4!!!: http://youtu.be/9QC3ZboI3wo .
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https://www.youtube.com/watch?v=Q3wps6M6oB4
In this video I go over a quick question that involves applying the Ratio Test to find that a series is convergent and thus the terms approach zero as n goes to infinity. If every term of a sequence is greater than zero, and the ratio of each next term to the current term is less than 1 as n approaches infinity, then this is merely the Ratio Test for a convergent series. Thus, if a series is convergent, its terms approach zero, and the answer to our question is True.
Time stamps:
- Question 18: 0:00
- Solution: True: 0:20
- Applying the Ratio Test: 0:56
Full video below:
- Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L
Related Videos:
Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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In this video I have uploaded, with permission, an epic edit by fellow researcher 9/11 Revisionist on the real truth of Building 7, which was it got DEW'ed. WTC 7, also called Building 7, has often been the focus of alt-media as "proof" of controlled explosive demolition, but the evidence clearly shows it was not exploded. There was very little noise or seismic impact, or even rubble, thus making it easy for mainstream narrative believers to debunk mainstream conspiracy researchers. Although the mainstream lie of "office fires" causing a nonexistent "pancake collapse" is as bogus as it gets, it is important not to replace one lie with another (that's the job of controlled opposition Architects & Engineers for 9/11 "Truth"). What actually happened on 9/11 was that it was being dustified in a much more gradual method for 7 hours from inside out until it was quiet literally a hollowed out shell. At this point it couldn't support its own weight and fell so quietly that people nearby could barely hear it. Such advanced technology that could do this bring up thoughts of, as Lieutenant colonel Thomas Bearden would put it, "electromagnetic implosions at a distance using scalar wave interference"...
The original video can be seen on 9/11 Revisionist's various channels:
- https://youtu.be/nCiUsM4bVSM
- https://911revision.substack.com/p/building-7-the-real-truth-cut
- https://odysee.com/@911revisited:7/Building-7---The-TRUTH-CUT---911-Revisionist:f
- https://twitter.com/911Revisionist/status/1700996802491928801
The timestamps of key parts of the video are listed below:
- Epic music introduction: 0:00
- MSM Breaking News: America Under Attack: 0:21
- Building 7 lathering into dust: 0:54
- Building 7 falls like an empty shell: 2:33
- Lt. Col. Thomas Bearden: Scalar weapons, cold explosions: 2:52
- WTC 7 falling quietly: 3:25
- Mainstream narrative believer Edward Current debunking explosive demolition: 5:10
- Fake WTC 7 explosives hoax video: 5:40
- Real explosive demolition is very loud: 6:22
- Building 7's fall is very quiet: 6:52
- 9/11 Revisionist asking AE911Truth disinfo agents David Chandler and Richard Gage about seismic readings: 8:06
- "I'm not a Seismologist" LOL?: 8:36
- Dr. Judy Wood on the very small seismic signals of building 7: 8:42
- Links for more information: 9:27
Related videos:
- 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh
- #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911 .
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...
https://www.youtube.com/watch?v=QH6Q230711E
In this video I go over further into improper integrals and this time discuss the type 1, Infinite Intervals, in great detail as well as outlining a definition for it. The first type of improper integrals is when the interval is infinite, such as the integral of a function from x = a to infinity. Even though the interval may be infinite the actual integral may approach a finite number if the limit of the function at positive or negative infinity exists.
Download the notes in my video: http://1drv.ms/1L0BkCr
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/improper-integrals-type-1-infinite-intervals
Related Videos:
Improper Integrals: Introduction: https://youtu.be/ud44W-0jC-c
The Definite Integral - Brief Introduction: http://youtu.be/vhMP5SKbQjU
Integrals and Areas Between Curves: http://youtu.be/2F03KMLIzbk
Infinite Limits - Precise Definition: http://youtu.be/QyVTgSzn7dE
Infinite Limits - Vertical Asymptotes: http://youtu.be/H-5Txa8SOwQ .
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...
https://www.youtube.com/watch?v=9ZlsCy3wdZU
In this video I go over Part 2 of Example 12 on Polar Coordinates which involves providing an analytical approach to the Limaçon curves of Example 11. In Part 2 I look at Question B which asks to prove that the Limaçon loses it’s “dimple” at c = ½. I prove this by using the Second Derivative Test to show that the dimple is simple a local maximum. Similarly I do the same for c = -1/2 and show that instead the dimple can be viewed as the local minimum. This is another very detailed proof video but once again provides an in-depth approach in breaking down polar curves, so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvR7apHTQzi_4VTEsA
View my video notes on Steemit!! https://steemit.com/mathematics/@mes/video-notes-polar-coordinates-example-12-limacons-analytical-proof-part-2-question-b
Related Videos:
Polar Coordinates: Example 12: Limaçons Analytical Proof: Part 1: Question A: https://youtu.be/90XjQVkLBVY
Polar Coordinates: Example 11: Limaçons + Cochlea + Archimedean Screw: https://youtu.be/GByUVHGAMe0
Polar Coordinates: Example 10: Graphing r = sin(8ϴ/5): https://youtu.be/m-A35NDX7b0
Polar Coordinates: Graphing With Polar Curves with Desmos Calculator: https://youtu.be/xY9Be9HHRsk
Polar Coordinates: Example 9: Cardioid: Part 4: https://youtu.be/R6UtQD8tUF0
Polar Coordinates: Example 9: Cardioid: Part 3: Question B: https://youtu.be/-TZHaTjHfb8
Polar Coordinates: Example 9: Cardioid: Part 2: Question A: https://youtu.be/gUYmzZ8Cfhg
Polar Coordinates: Example 9: Cardioid: Part 1: Slope Formula & Trigonometric Algebra: https://youtu.be/MlIhueP36EE
Polar Coordinates: Tangents to Polar Curves: https://youtu.be/DJso0gmxCBY
Polar Coordinates: Symmetry: https://youtu.be/TWxforTOvxM
Polar Coordinates: Example 8: Four-Leaved Rose: https://youtu.be/mTk5j0jD3dE
Polar Coordinates: Example 7: Cardioid: https://youtu.be/rPErcaqNUIY
Polar Coordinates: Example 6: Part 2: Polar Circle to Cartesian: https://youtu.be/biUHN-BphkE
Polar Coordinates: Example 5: Straight Lines: https://youtu.be/AGSz3EVi05A
Polar Coordinates: Example 4: Circle: https://youtu.be/ebsaIlXaZxs
Polar Coordinates: Example 3: Cartesian to Polar
Polar Coordinates: Example 2: Polar to Cartesian: https://youtu.be/mvpb9QshNNU
Polar Coordinates: Cartesian Connection: https://youtu.be/HcaTYrpmGaU
Polar Coordinates: Example 1: https://youtu.be/q_kpqPpoLqE
Polar Coordinates: https://youtu.be/-KAdZL-N4ok
Parametric Equations and Polar Coordinates: https://youtu.be/usSors49Gdw
Second Derivative Test - A brief Introduction: http://youtu.be/lOwK5rQh0Kk .
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https://www.youtube.com/watch?v=jcgKoMYxBgk