find-the-limit-or-show-that-it-does-not-exist-displaystyle-lim_x-to-infty-sqrtx2-1

Question

Find the limit or show that it does not exist. 

$ \displaystyle \lim_{x 	o \infty} \sqrt{x^2 + 1} $

Daniel Jaimes · Accepted Answer

this poem Number thirty of this to re calculus, eighth edition, section two point six Find the limit or showed that it does not exist. Some of his exposures infinity of the quantity, X squared, plus one. All right, toothy one half power or the squared of the quantity. Not for this function. We know that it is always increasing a simple plot of dysfunction. We would be able to see that and Sarah will be equal to one. But then, after that, it consistently increases almost in an NL in your direction, as experts is infinity D Element does not have a sense of little enough. There&#x27;s no horizontal destitute and so as express infinity dysfunction approaches positive infinity, and that is our final answer for this limit.

Problem

Find the limit or show that it does not exist. …

Problem 30 Easy Difficulty

Find the limit or show that it does not exist.

$ \displaystyle \lim_{x \to \infty} \sqrt{x^2 + 1} $

Answer

$\infty$

Related Courses

Calculus: Early Transcendentals

Related Topics

Discussion

Top Calculus 1 / AB Educators

Heather Z.

Caleb E.

Michael J.

Joseph L.

Calculus 1 / AB Courses

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 2

Video Transcript