Solution Found!
?Find the limit or show that it does not exist.\(\lim _{t \rightarrow
Chapter 2, Problem 29(choose chapter or problem)
QUESTION:
Find the limit or show that it does not exist.
\(\lim _{t \rightarrow \infty}\left(\sqrt{25 t^{2}+2}-5 t\right)\)
Questions & Answers
QUESTION:
Find the limit or show that it does not exist.
\(\lim _{t \rightarrow \infty}\left(\sqrt{25 t^{2}+2}-5 t\right)\)
ANSWER:Step 1 of 2
The given limit is \(\lim _{t \rightarrow \infty}\left(\sqrt{25 t^{2}+2}-5 t\right)\).
Let us evaluate the value of \(\lim _{t \rightarrow \infty}\left(\sqrt{25 t^{2}+2}-5 t\right)\):
\(\begin{aligned}
\lim _{t \rightarrow \infty}\left(\sqrt{25 t^{2}+2}-5 t\right) & =\sqrt{25(\infty)^{2}+2}-5(\infty) \\
& =\text { indeterminate value }
\end{aligned}\)