Proof of the Limit Comparison Test

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A proof of the Limit Comparison Test for determining if series converge or diverge.
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Very clear and easy to follow. Thanks.

minus
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Out of all the Youtube videos, your proof video is the most clearest and easy to understand!

ijnijh
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0:25 It is not necessary to include L > 0 as a condition, since this is implied by the fact that the terms of both series are positive. (if An, Bn > 0, this means that An/Bn will also be > 0)

Regarding the rest of the proof, I found it extremely understandable and well explained. Way better than Dr. Peyam's video on the same. Thank you so much for this video, I hope you realize how much of a positive impact people like you make on people learning mathematics!

Avighna
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Thank you! Your explanation was much better than the one in my textbook.

thevenin
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thank you so much! your proof videos are explained so well :)

amycalderan
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This was a breakthrough video for me, your explanation so clear and concise. However, I take issue with your drawing, and I'm not being funny. Only an alternating series could do that. But you assume only positive terms.

ntruesdale