lim(x->0) [ 3sinx +x^2. cos(1/x) ]/[(1+cosx)ln(1+x) ]=(1/2) lim(x->0) [ 3sinx +x^2. cos(1/x) ]/ ln(1+x)=(1/2) lim(x->0) [ 3sinx +x^2. cos(1/x) ]/ x=(1/2) lim(x->0) [ 3sinx/x +x.cos(1/x) ]=(1/2)( 3 +0)=3/2
