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Unformatted text preview: itself, and if ( ) ( ) lim lim x c x c h x L g x → → = = then ( ) lim x c f x → exists and is equal to L. • Three Special Limits 1. sin lim 1 x x x → = 2. 1 cos lim x x x →= 3. ( ) 1 lim 1 x x x e → + = Strategy for Finding Limits: 1. Try direct substitution: One of three things will happen: a. If you get a real number, then you are done. b. If you get , then you have to algebraically manipulate your function so that you can use direct substitution: i. Factoring ii. Rationalizing (Radicals) iii. Simplifying Complex Rational Expressions iv. Special Limits c. Will be seen later d. If none of the top three apply, try using the Squeeze Theorem....
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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.
 Summer '11
 MarioBorha
 Calculus, Limits

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