Solution Found!
100 Evaluate the following limits. Check your results by
Chapter 4, Problem 36RE(choose chapter or problem)
QUESTION:
\(1^{\infty},\ 0^0,\ \infty^0\) forms Evaluate the following limits. Check your results by graphing.
\(\lim _{x \rightarrow \infty}\ \frac{\ln x^{100}}{\sqrt{x}}\)
Questions & Answers
QUESTION:
\(1^{\infty},\ 0^0,\ \infty^0\) forms Evaluate the following limits. Check your results by graphing.
\(\lim _{x \rightarrow \infty}\ \frac{\ln x^{100}}{\sqrt{x}}\)
ANSWER:Solution Step 1 100 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: 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. In these cases we have lim f(x)= lim f(x) xa g(x) xa gx)