- #1

Krushnaraj Pandya

Gold Member

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## Homework Statement

## \lim x-0 \frac {xcosx-log(1+x)}{x^2}##

## Homework Equations

##\frac{log(1+x)}{x}=1## ...(i)

## The Attempt at a Solution

Using (i) we can write numerator as xcosx-x, cancelling x from denominator we have cosx-1/x, this is 0/0 form so we can use LHR which gives us -sinx/1 but this gives an incorrect value for the limit. Is there some technicality I'm overlooking about applying LHR?