Limits? ?The following limits represent the derivative of a function f at a point a. Find a possible f and a, and then evaluate the limit. 2 ? 1 lim sin (4+h)?2 h?0 h

Solution Step 1: sin (4+h)2 Given lim h h0 2 From the given limit the possible function f=sin x and the point a = 4 sin 4 +h)2 Then after evaluating the limit lim h directly we get 0/0 form h0 So we use L'Hospital's rule Lâ€™Hospitalâ€™s Rule tells us that if we have an indeterminate form...