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If f(x+ y) = f(x) + f(y) for x, y in R a...

If `f(x+ y) = f(x) + f(y)` for `x, y in R` and `f(1) = 1`, then find the value of `lim_(x->0)(2^(f(tan x)-2^f(sin x)))/(x^2*f(sin x))`

A

`log2`

B

`log4`

C

`logsqrt(2)`

D

`log8`

Text Solution

Verified by Experts

The correct Answer is:
C
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