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by: Maria Sales

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# 2.2 Definition of Limits MATH 180

Marketplace > University of Illinois at Chicago > MATH 180 > 2 2 Definition of Limits
Maria Sales
UIC

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The notes from 8/26/2016 during the 9am Lecture class
COURSE
Calculus
PROF.
Samuel J. Shideler
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Math, Calculus, Limits, definition, Of, Right, left, DNE
KARMA
25 ?

## Popular in Department

This 2 page Class Notes was uploaded by Maria Sales on Sunday August 28, 2016. The Class Notes belongs to MATH 180 at University of Illinois at Chicago taught by Samuel J. Shideler in Fall 2016. Since its upload, it has received 83 views.

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Date Created: 08/28/16
August 24, 2016 2.2 Definition of Limits Limit – the value the function wants to be lim f(x)=L Def. x→a if f(x) is arbitrarily close to L where x is sufficiently near (but not equal to) a. +¿ x→a f (x)=L Def. lim ¿ if f(x) gets arbitrarily close to L when x ¿ > a is sufficiently close to a. x→a −¿f(x)=L Def. l¿m ¿ if f(x) gets arbitrarily close to L when x < a is sufficiently close to a. Ex. August 24, 2016 Find the following (if they exist): lim f (x) a) x→−2 does not exist b) f −2 ) 2 lim f(x) c) x→0 1/2 d) f (2) 4 lim f (x) e) x→ 4 1 f) f 4 ) 1 lim f(x) g) x→4 -2 +¿ x→−2 f (x) h) lim ¿ 2 ¿ x→−2 f (x) i) l¿m ¿ 1 +¿ x→1 f (x) j) lim ¿ 0 ¿ −¿ x→1 f (x) k) lim ¿ 0 ¿ f (3) l) 0

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