x ?x ?3x +5x?2 Limits? Evaluate the following limits. Use l'Hôpital's Rule when needed. lim x +x ?5x+3 x?1

Solution Step 1 In this problem we have to evaluate the limit lim x x 3x +5x2 by using l'Hôpital's Rule x1 x +x 5x+3 when needed. l'Hôpital's Rule: f(x) 0 f(x) ± Suppose that we have one of the following cases, lim g(x) = 0r lim g(x) = ± xa xa Where a can be any real number, infinity or negative infinity. f(x) f(x) In these cases we have lim xa g(x) = xa gx)