Let f(x)=lim(n->oo)(log(2+x)-x^(2n)sinx...

Let `f(x)=lim_(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n))`. then

A

f is continuous at x=1

B

`lim_( x to 1^(+)) f(x) = log 3`

C

`lim_( x to 1^(+)) f(x) =- sin 1`

D

`lim_(x to 1^(-)) f(x)` does not exist

Verified by Experts

The correct Answer is:

C

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