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The function f(x) =(xe^(1//x))/(1+e^(1//...

The function `f(x) =(xe^(1//x))/(1+e^(1//x))+sin""1/x" for "x ne 0, f(0)=0" at x=0 is `

A

has two inflection points

B

has one point extremum

C

is non - differentiable at x=0

D

Range of `f(x)` is `[-3xx2^(-8//3),oo)`

Text Solution

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The correct Answer is:
A, B, C, D
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