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Let f (x) lim(xtooo) (log, (2+x)-x ^(2x)...

Let `f (x) lim_(xtooo) (log, (2+x)-x ^(2x) sin x)/(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

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Verified by Experts

The correct Answer is:
C
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