Find the limits in Exercises 80–86.

Chapter 2, Problem 86E

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QUESTION:

Finding Limits of Differences when \(x \rightarrow \pm \infty\)

Find the limits in Exercises 80-86.

\(\lim _{x \rightarrow \infty}\left(\sqrt{x^{2}+x}-\sqrt{x^{2}-x}\right)\)

Equation Transcription:

Text Transcription:

x rightarrow pm infty

lim over x rightarrow infty(sqrt x^2+x-sqrt x^2-x)

Questions & Answers

QUESTION:

Finding Limits of Differences when \(x \rightarrow \pm \infty\)

Find the limits in Exercises 80-86.

\(\lim _{x \rightarrow \infty}\left(\sqrt{x^{2}+x}-\sqrt{x^{2}-x}\right)\)

Equation Transcription:

Text Transcription:

x rightarrow pm infty

lim over x rightarrow infty(sqrt x^2+x-sqrt x^2-x)

ANSWER:

Solution:

Step 1 of 3:

In this problem, we need to find the limit value.

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