The Math Forum

Ask Dr. Math - Questions and Answers from our Archives
Associated Topics || Dr. Math Home || Search Dr. Math

A Limit Problem

Date: 10/24/96 at 14:5:54
From: Dallas Oler
Subject: A limit problem

What is the limit of (x^2 -4) / (2x) as x approaches infinity?

Thank you,


Date: 10/24/96 at 15:48:56
From: Doctor Donald
Subject: Re: A limit problem

Write it as  x^2(1-4/x^2)
             -------------  = (1/2) x( 1-4/x^2)

As x approaches inf, 4/x^2 approaches 0, so we get large numbers 
x times 1/2 times stuff which is about 1.  The net result is
larger and larger products - the answer is infinity.

-Doctor Donald,  The Math Forum
 Check out our web site!   
Associated Topics:
High School Calculus

Search the Dr. Math Library:

Find items containing (put spaces between keywords):
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words

Submit your own question to Dr. Math

[Privacy Policy] [Terms of Use]

Math Forum Home || Math Library || Quick Reference || Math Forum Search

Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.