Finally recall the following theorem 1 If r 0 is a rational humber then lim 0 x xx Applying this gives us the following 8 7 lim 818 5 lim X18 3 lim X48 1 8 7 1 5 0 3 C Therefore evaluating the given limit gives the following result If the limit is infinite enter o or as appropriate If the limit does not otherwise exist enter DNE 8x 7 lim x 5x x3