3 2 Limits? Evaluate the following limits. Use l'Hôpital's Rule when needed. lim t ?t ?2t t?2 t ?4

Solution Step 1 t t 2t In this problem we have to evaluate the limit lim t 4 by using l'Hôpital's Rule t2 l'Hôpital's Rule: f(x) 0 f(x) ± Suppose that we have one of the following cases, lim xa g(x)= o0 limxa 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()