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

If `f(x)` is continuous at `x=0`, where `f(x)=((5^(x)-2^(x))x)/(cos 5x-cos 3x)`, for `x!=0`, then `f(0)=`

A

`(-1)/(4) log (2/5)`

B

`1/4 log (2/5)`

C

`(-1)/(8) log (2/5)`

D

`1/8 log (2/5)`

Text Solution

Verified by Experts

The correct Answer is:
D
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