Solution Found!
?Find the limit or show that it does not exist.\(\lim _{x \rightarrow \infty}
Chapter 2, Problem 25(choose chapter or problem)
Find the limit or show that it does not exist.
\(\lim _{x \rightarrow \infty} \frac{\sqrt{1+4 x^{6}}}{2-x^{3}}\)
Questions & Answers
(1 Reviews)
QUESTION:
Find the limit or show that it does not exist.
\(\lim _{x \rightarrow \infty} \frac{\sqrt{1+4 x^{6}}}{2-x^{3}}\)
ANSWER:Step 1 of 2
The given limit is \(\lim _{x \rightarrow \infty} \frac{\sqrt{1+4 x^{6}}}{2-x^{3}}\).
Let us evaluate the value of \(\lim _{x \rightarrow \infty} \frac{\sqrt{1+4 x^{6}}}{2-x^{3}}\):
\(\begin{aligned} \lim _{x \rightarrow \infty} \frac{\sqrt{1+4 x^{6}}}{2-x^{3}} & =\frac{\sqrt{1+4(\infty)^{6}}}{2-\infty^{3}} \\ & =\frac{\infty}{\infty} \end{aligned}\)
Reviews
Review this written solution for 1066262) viewed: 42 isbn: 9781337613927 | Calculus: Early Transcendentals - 9 Edition - Chapter 2.6 - Problem 25
Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.
No thanks, I don't want to help other students