Calculus_Cheat_Sheet_Limits

Calculus_Cheat_Sheet_Limits - Calculus Cheat Sheet Visit...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Calculus Cheat Sheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. © 2005 Paul Dawkins Limits Definitions Precise Definition : We say ( ) lim x a f x L f = if for every e > there is a d > such that whenever x a d <- < then ( ) f x L e- < . “Working” Definition : We say ( ) lim x a f x L f = if we can make ( ) f x as close to L as we want by taking x sufficiently close to a (on either side of a ) without letting x a = . Right hand limit : ( ) lim x a f x L + f = . This has the same definition as the limit except it requires x a > . Left hand limit : ( ) lim x a f x L- f = . This has the same definition as the limit except it requires x a < . Limit at Infinity : We say ( ) lim x f x L f¥ = if we can make ( ) f x as close to L as we want by taking x large enough and positive. There is a similar definition for ( ) lim x f x L f-¥ = except we require x large and negative. Infinite Limit : We say ( ) lim x a f x f = ¥ if we can make ( ) f x arbitrarily large (and positive) by taking x sufficiently close to a (on either side of a ) without letting x a = ....
View Full Document

This note was uploaded on 10/18/2008 for the course CHE 131L taught by Professor Caenepeel during the Spring '06 term at Cal Poly Pomona.

Page1 / 2

Calculus_Cheat_Sheet_Limits - Calculus Cheat Sheet Visit...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online