If f(x) is continuous at x=0, where f(...

If `f(x) ` is continuous at `x=0`, where `f(x)={:{((9^(x)-9^(-x))/(sin x)", for " x!=0),(k", for " x=0):}`, then `k=`

A

log 9

B

log 81

C

2 log 3

D

`(log 9)^(2)`

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The correct Answer is:

B

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