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lim(xrarr1)(1+logx-x)/(1-2x+x^2) equals...

`lim_(xrarr1)(1+logx-x)/(1-2x+x^2)` equals

A

1

B

-1

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
We have,
`lim_(xto0) (1+log x-x)/(1-2x +x^2)`
`lim_(xto0) ((1)/(x-1))/(-2+2x) ["By L' Hospital Rule"]`
`lim_(xto1) (1-x)/(2x(x-1))=(1)/(2)`
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