LIM (sin △ X / 2) / △ x is a 1 / 2 proof process when △ x tends to zero

LIM (sin △ X / 2) / △ x is a 1 / 2 proof process when △ x tends to zero

lim(sin△x/2)/△x
=lim1/2*(sin△x/2)/(△x/2)
=1/2*1
=1/2