Register to reply

Precise definition for the limit

by realism877
Tags: definition, limit, precise
Share this thread:
realism877
#1
May16-11, 07:44 PM
P: 80
(4x+1)/(3x-4)=4.5 lim approaches 2

Find values of delta that correspond to epsilon=0.5

I know how to use the calculator to get the solution. I just want to know how to get rid of that nasty fractions to make things a lot easier.
Phys.Org News Partner Science news on Phys.org
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100
Mark44
#2
May16-11, 08:09 PM
Mentor
P: 21,313
Quote Quote by realism877 View Post
(4x+1)/(3x-4)=4.5 lim approaches 2

Find values of delta that correspond to epsilon=0.5

I know how to use the calculator to get the solution.
I'm not so sure. There's more to this than just plugging numbers into a calculator.

What you need to do is to find an interval around 2, (2 - δ, 2 + δ), so that no matter what x you pick in the aforementioned interval, (4x + 1)/(3x - 4) is between 4.5 - .5 and 4.5 + .5. IOW, between 4 and 5.
Quote Quote by realism877 View Post
I just want to know how to get rid of that nasty fractions to make things a lot easier.


Register to reply

Related Discussions
Precise Definition of the Limit for f(x)=0 Calculus & Beyond Homework 4
Precise Definition of a limit Calculus & Beyond Homework 1
Precise definition of a limit Calculus & Beyond Homework 3
Precise Definition of a Limit Calculus 1
Precise Definition of a Limit Calculus 1