Explain why f(x) is not differentiable at x = 0.

Tsukanomon asked Sep 28, 2023

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29 votes

Explain why f(x)
is not differentiable at x = 0.

Tsukanomon asked Sep 28, 2023

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16 votes

The derivative at
x=0 is given by the limit

$\displaystyle \lim_(x\to0) (f(x) - f(0))/(x - 0)$

but this limit does not exist because
f(0) is undefined.

Shkarik answered Oct 2, 2023

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