Evaluate The limit, if it exists

Question

lim h → 0

((1+h) -1)/h

Answer 1

the limit is the derivative of sqr(x) when x=1

y' = 1/2sqr(x)

y' = 1/2sqr(1) = 1/2

the limit of (sqr(1+h) -sqr(1))/h as h approaches 0 = 1/2