44.
lim((e^(-2+h)-e^(-2))/h,h->0).........................(e^(-2+h)-e^(-2))/h=(e^h - 1)/(e^2 h)=((1/e^2)((e^h - 1)/h)
=lim(((1/e^2)((e^h - 1)/h),h->0).......take constant out
=(1/e^2)*lim((e^h - 1)/h),h->0)................apply L’Hopital’s rule (e^h - 1)/h=e^h /1
=(1/e^2)*lim(e^h /1),h->0)......substitute h=0
=(1/e^2)*(e^0 /1)
=(1/e^2)*(1 /1)
=(1/e^2)
so, [ATTACH=full]3388[/ATTACH]
