Determine whether f’(0) exist.\begin{cases}x\sin1/x\ if\ x\ne0\\0\ if\ x

banganX

banganX

Answered question

2021-09-16

Determine whether f’(0) exist.
{xsin1x if x00 if x=0

Answer & Explanation

faldduE

faldduE

Skilled2021-09-17Added 109 answers

Recall that:
f(a)=limxaf(x)f(a)xa
f(0)=limx0xsin(1x)0x0
f(0)=limx0sin(1x)
f(0)=sin()DOES NOT EXIST
Result: f(0) does not exist

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