Problem 28RE
Limits Evaluate the following limits. Use l'Hôpital's Rule when needed.
\(\lim \limits_{x \rightarrow \infty} \frac{5 x^{2}+2 x-5}{\sqrt{x^{4}-1}}\)
Step-by-Step Solution:
Solution Step 1 5x +2x5 In this problem we have to evaluate the limit lim 4 by using l'Hôpital's Rule when x x 1 needed. l'Hôpital's Rule: Suppose that we have one of the following cases, lim f(x)= or lim f(x)= ± xa g(x) 0 xa g(x) ± Where a can be any real number, infinity or negative infinity. f(x) f(x) In these cases we have lim = lim xa g(x) xa gx)
Step 2 of 2
