Need help on limit problem!!!

[PopTheEquation]

Find the lim as h approaches 0 of ((sin (pi/4+h)-(1/2))/h ?

L'hopital rule does not apply and I can't seem to do the conjugate or simplify. Help pleaseee!!

 

[Deleted member 4993]

Find the lim as h approaches 0 of ((sin (pi/4+h)-(1/2))/h ?

L'hopital rule does not apply and I can't seem to do the conjugate or simplify. Help pleaseee!!

Are you sure that the constant term is NOT \(\displaystyle \frac{1}{\sqrt{2}}\)?