We are asked to find the following limit h 5 25 h lim h 0 h We will first attempt to do so using direct substitution Let f h h 5 2 25 We know that as f is a rational function if 0 is in the domain off th the given limit is equal to f 0 The function Select defined at h 0 therefore we cannot evaluate the limit by this direct substitution Therefore we will next attempt to use the quotient law which we recall is as follows lim g x h 0 lim 9 x h 0 k x lim k x h 0 We note that the quotient law requires that the limit in the denominator is not equal to 0 so we must check that as follows lim h h 0 So this means that the quotient law Select