Answer
$$\frac{2}{5}$$
Work Step by Step
\begin{align*}
\lim _{x \rightarrow-\infty} \frac{2 x^{2}+3}{5 x^{2}+7}&=\lim _{x \rightarrow-\infty} \frac{2+\frac{3}{x^{2}}}{5+\frac{7}{x^{2}}}\\
&=\frac{2+0}{5+0}\\
&=\frac{2}{5}
\end{align*}
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 2: Limits and Continuity - Practice Exercises - Page 101: 38
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