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by: Sarahjallen

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# 1.3 and 1.4 Notes Summary Math 150A

Sarahjallen
Cal State Fullerton

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Limits and limit laws.
COURSE
Calculus 1
PROF.
Dr. George Arthur
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Calculus, Math, Math150A, CSUF, cal state fullerton, Limits, limit laws
KARMA
25 ?

## Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Sarahjallen on Monday February 15, 2016. The Class Notes belongs to Math 150A at California State University - Fullerton taught by Dr. George Arthur in Spring 2016. Since its upload, it has received 17 views. For similar materials see Calculus 1 in Mathematics (M) at California State University - Fullerton.

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## Reviews for 1.3 and 1.4 Notes Summary

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### What is Karma?

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Date Created: 02/15/16
1.3 & 1.4 Notes Summary 1.3 – The limit of a Function The limit tells us the behavior of the function as it approaches the limit value. For example, n lim 1+ 1 n→4( ) n As n approaches 4, we can determine the behavior the function will have. Examples: 2 lim x −x+2 =4 x→2 x−1 1 lim 2 = x→1 x −2 2 lim sin x=1 x →0 x 1.4 Calculating Limits using Limit Laws lim [ (x)+g (x)]lim f (x)+lim g(x) 1. x →a x→a x→ a 2. lim [ (x)−g (x ]=lim f (x)−lim g(x) x →a x→ a x →a lim [ f(x ]=c∗lim f (x) 3. x →a x→a lim [ (x)g x ]=lim f (x)∗lim g(x) 4. x →a x→a x→ a f (x) lim f x ) x→ a¿ lim f ( )= x →a ≠0 ¿ 5. x →ag x ) lim g x ) (as long as g(x) 6. ¿ x→ a 2 x →a[ f( )] =¿ lim c=c 7. x→a 8. lim x=a x →a n n 9. lim√x= a√ x →a h h 10. lim x =a x →a n n 11. lim√ f (x)=√lim f (x) x →a x→ a Squeeze theorem: when f(x) ≥ g(x) ≥ h (x) & f(x) = h(x) then, g(x) = f(x) or h(x).

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