Solution Found!
1 ,0 , forms Evaluate the following limits. Check your
Chapter 4, Problem 38RE(choose chapter or problem)
QUESTION:
\(1^{\infty},\ 0^0,\ \infty^0\) forms Evaluate the following limits. Check your results by graphing.
\(\lim _{x \rightarrow \infty}\ \frac{\ln^3 x}{\sqrt{x}}\)
Questions & Answers
QUESTION:
\(1^{\infty},\ 0^0,\ \infty^0\) forms Evaluate the following limits. Check your results by graphing.
\(\lim _{x \rightarrow \infty}\ \frac{\ln^3 x}{\sqrt{x}}\)
ANSWER:Solution Step 1 In this problem we have to evaluate the limit lim ln x by using l'Hôpital's Rule when x x needed. l'Hôpital's Rule: f(x) 0 f(x) ± Suppose that we have one of the following cases, lim g(x)= o0 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 = lim xa g(x) xa gx)