Section 2.2 - → III Formal Definition of Limit • Let f...

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

View Full Document Right Arrow Icon
Chapter Two: Limits Section 2.2: Finding Limits Graphically and Numerically I. A table can be used to approximate the limit numerically: x 0 1 cosx lim x - : Based on these approximations, we can make an educated guess and say that x 0 1 cosx lim 0 x - = II. There are three reasons why ( ) lim x c f x does not exist: Behavior on left of c differs from behavior on right of c. Function has unbounded behavior as x c
Background image of page 1

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

View Full DocumentRight Arrow Icon
Function oscillates wildly as x c
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: → . III. Formal Definition of Limit • Let f be a function defined on an open interval containing c (except possibly at c) and let L be a real number. The statement ( ) lim x c f x L → = means that for each ε > , there exists a δ > such that ( ) x c f x L <-< ⇒-< . • When doing these problems, you are going to be given ε and will have to use the definition to solve for δ ....
View Full Document

This note was uploaded on 06/21/2011 for the course MTH 150 taught by Professor Marioborha during the Summer '11 term at Moraine Valley Community College.

Page1 / 2

Section 2.2 - → III Formal Definition of Limit • Let f...

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