lim 1-cos2x

x-->0 -------------=?

x^2+x.sinx

I applied L'Hospital but couldn't get rid of x.

I tried another way

1-cos2x=1-(cos^x-sin^x)=sin^2x

sin^2x

----------

x^2+xsinx

I tried to divide both sides by 2x to apply sandwich rule but I couldn't get anything.