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What is the value of lim(xto0) (sinx)/(x...

What is the value of `lim_(xto0) (sinx)/(x)`?

A

1

B

0

C

`oo`

D

-1

Text Solution

Verified by Experts

The correct Answer is:
B
Given limit is : `underset(xtooo)lim(sinx)/(x)`
Let, `x=(1)/(h)andas" "xtooo, hto0`
change to : `underset(hto0)limhsin"(1)/(h)`
=0 (value of `sin(1)/(h)` is finite as it lies between -1 and 1)
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