underset(xto0)("lim")(int(0)^(x)t tan (5...

`underset(xto0)("lim")(int_(0)^(x)t tan (5t)dt)/x^3` is equal to :

A

`-4/3`

B

`-5/3`

C

`4/3`

D

`5/3`

Verified by Experts

The correct Answer is:

D

Using L.H. rule `underset(xto0)("lim")(xtan (5x))/(3x^2) = (tan5x)/(3x) = 5/3`

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