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The value of lim(xto0)(1)/(x) int(0)^(x)...

The value of `lim_(xto0)(1)/(x) int_(0)^(x)(1+ sin 2t)^(1/t) dt` equals :

A

2

B

1

C

e

D

`e^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`lim_(x to 0)((1 + sin2x)^(1/x))/(1) = e^(2)`
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