Math 131 101216 Continuity of Derivatives; L'Hopital's Rule; Taylor Polynomials

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Intermediate Value Property of Derivatives; Derivatives have no simple discontinuities; L'Hopital's Rule; Taylor polynomials
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Thank you very much professor. You really helped me to understand this topic which I have been struggling on for long time.

ameynarkhede
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Thank you! Your lectures are such a good resource for me as I am about to start on my first proper analysis course at my university

tekaaable
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Prof Ou, I am curious about the condition f'(a)<lambda<f'(b); lambda does not necessarily have to be between these two values right? Looking at the example graph you have given at 12:50, the gradient between a and b clearly falls below f'(a) at some middle parts of the graph. Any clarification is greatly appreciated!

thesunnydk
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Professor Ou, do you have plan to upload classes about measure theory? Thanks.

htiange
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what is it that you mention u would put into notes bout rudins additional on l'hospitals???

krizaljohnespacio