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What is lim(xto0) x^(2)sin((1)/(x)) equa...

What is `lim_(xto0) x^(2)sin((1)/(x))` equal to?

A

0

B

1

C

`1//2`

D

Limit does not exist

Text Solution

Verified by Experts

The correct Answer is:
A
`underset(xto0)lim(x^(2))[sin((1)/(x))]=0xxunderset(xto0)limsin((1)/(x))`
`=0xx"finite quantiy"=0`
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