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Mathematics 15 Online
mhchen:

let f(x) be differentiable on interval A, containing 0.

mhchen:

Let \( x_{n}\) be all sequences in A that converge to 0, but don't equal to 0. Show if \( f(x_{n}) \) = 0 then \( f'(0)=0 \)

mhchen:

The problem with this question is that I can think of a counter-example: |dw:1573004538431:dw|

Zarkon:

That is not a counter example

mhchen:

OOF f(x_n) not equal to 0 here?

Zarkon:

correct

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