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

a) f (x) continuous at `x=1`

B

b) `lim _(x to 1 ^(-)) f (x) =log_(e)3`

C

c) `lim _(xto1 ^(+)) f (x) =-sin 1`

D

d) `lim _(x to 1 ^(-)) f (x)` does not exist

Text Solution

Verified by Experts

The correct Answer is:

C

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