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What is lim(x to 0) (tanx)/(sin2x) equal...

What is `lim_(x to 0) (tanx)/(sin2x)` equal to?

A

`(1)/(2)`

B

1

C

2

D

Limit does not exist

Text Solution

Verified by Experts

The correct Answer is:
A

`underset(xto0)lim(tanx)/(sin2x)`
`=underset(xto0)lim((tanx)/(x))/(2(sin2x)/(2x))=(1)/(2)`
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