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Evaluate lim(xto-2^(+)) (x^(2)-1)/(2x+4)...

Evaluate `lim_(xto-2^(+)) (x^(2)-1)/(2x+4).`

Text Solution

Verified by Experts

The correct Answer is:
`oo.`
`L= underset(xto-2^(+))lim(x^(2)-1)/(2x+4)`
`=underset(hto0)lim((-2+h)^(2)-1)/(2(-2+h)+4)`
`=underset(hto0)lim(3-4h+h^(2))/(2h)`
For `hto0,` Numerator`to3` and Denominator `to0`
`:." "Ltooo`
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