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For which of the following functions f(0...

For which of the following functions `f(0)` exists such that `f(x)` is continuous at `f(x)=1/((log)_e|x|)` b. `f(x)=1/((log)_"e"|x|)` c. f(x)=x sinpi/x d. `f(x)=1/(1+2^(cot x))`

A

`f(x)=(1)/(log_(e)|x|)`

B

`f(x)=cos((|sinx|)/(x))`

C

`f(x)=x sin (pi)/(x)`

D

`f(x)=(1)=(1)/(1+2^(cotx))`

Text Solution

Verified by Experts

The correct Answer is:
C
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