Limits? Evaluate the following limits. Use l'Hôpital's Rule when needed. 2 2 x??m( x + x + 1 ? x ? x)

Solution Step 1 2 2 In this problem we have to evaluate the limit lim( x + x + 1 x x)by using x l'Hôpital's Rule when needed. l'Hôpital's Rule: f(x) f(x) Suppose that we have one of the following cases, lim = 0 or lim = ± xa g(x) 0 xa g(x) ± Where a can be any real number, infinity or negative infinity. In these cases we have lim f(x)= lim f(x) xa g(x) xa g(x)