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Use a graphing utility to (a) graph the function and (b) find the required limit (if it exists).$$\lim _{x \rightarrow \infty}\left(\sqrt{x^{2}+5 x+2}-x\right)$$

$\frac{5}{2}$

Calculus 1 / AB

Calculus 2 / BC

Chapter 8

Integration Techniques, L’Hopital’s Rule, and Improper Integrals

Section 7

Indeterminate Forms and L’Hopital’s Rule

Limits

Integration Techniques

Improper Integrals

Campbell University

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

00:28

Use a graphing utility to …

00:19

01:19

Use a graphing calculator …

03:56

02:13

00:57

02:36

02:09

00:42

00:21

All right, so the graph is over to the right off. Question 65 on. We have to find a limit as extending towards infinity. So basically, we need to find, uh, when this exists and in towards infinity. So we already see that we have ah, horizontal as, um told at 2.5. Yeah, So as extends to infinity, the graph approaches this 2.5. Since this over here, we have three. So this must be 2.5. So the limit for this is 2.5 or fireworks.

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