?Find the limit or show that it does not exist.\(\lim _{x \rightarrow-\infty} \frac{2

Chapter 2, Problem 27

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QUESTION:

Find the limit or show that it does not exist.

\(\lim _{x \rightarrow-\infty} \frac{2 x^{5}-x}{x^{4}+3}\)

Questions & Answers

QUESTION:

Find the limit or show that it does not exist.

\(\lim _{x \rightarrow-\infty} \frac{2 x^{5}-x}{x^{4}+3}\)

ANSWER:

Step 1 of 2

The given limit is \(\lim _{x \rightarrow-\infty} \frac{2 x^{5}-x}{x^{4}+3}\).

Let us evaluate the value of \(\lim _{x \rightarrow-\infty} \frac{2 x^{5}-x}{x^{4}+3}\) by substituting \(-\infty\) in place of x:

\(\lim _{x \rightarrow-\infty} \frac{2 x^{5}-x}{x^{4}+3}=\frac{\infty}{\infty}\)

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