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Evaluate lim(xto3) ((x^(2)-9))/((x-3))...

Evaluate `lim_(xto3) ((x^(2)-9))/((x-3))`

A

6

B

3

C

9

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
A

Given, `underset(xto3)"lim"(x^(2)-9)/(x-3) = underset(xto3)"lim"(x^(2)-(3)^(2))/(x-3)`
`underset(xto3)"lim"((x+3)(x-3))/((x-3))= underset(xto3)"lim"(x+3)`
`=3+3=6`
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