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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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