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lim(x rarr 0) (int(0)^(x) t tan(5t)dt)/(...

`lim_(x rarr 0) (int_(0)^(x) t tan(5t)dt)/(x^(3))` is equal to :

A

`-(4)/(3)`

B

`-(5)/(3)`

C

`(4)/(3)`

D

`(5)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Using L.H. rule
`lim_(x to 0) (x tan (5x))/(3x^2) = (tan 5x)/(3x) = 5/3`
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