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What is lim(xto2) (x-2)/(x^(2)-4) equal ...

What is `lim_(xto2) (x-2)/(x^(2)-4)` equal to?

A

0

B

`(1)/(4)`

C

`(1)/(2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Let `underset(xto2)lim(x-2)/(x^(2)-4)=underset(xto2)lim(x-2)/((x-2)(x+2))`
`=underset(xto2)lim(1)/(x+2)=(1)/(2+2)=(1)/(4)`
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