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Unformatted text preview: Example: Let f ( x ) = √ x + 1 . Evaluate: 1) f (0) = 2) lim x → √ x + 1 NOTE: Some Basic Limits 3) lim x → a b = 4) lim x → a x = 5) lim x → a x n = 6) lim x → a n √ x = for appropriate values of x and a . Properties of Limits Let L := lim x → a f ( x ) and M := lim x → a g ( x ) . Then for any real numbers c and r , 1) lim x → a c · f ( x ) = 2) lim x → a h f ( x ) ± g ( x ) i = 3) lim x → a h f ( x ) · g ( x ) i = 4) lim x → a f ( x ) g ( x ) = 5) lim x → a [ f ( x ) ] r = NOTE: If p ( x ) is a polynomial, then lim x → a p ( x ) = Example: lim x →1 x 2 + 2 x3 = Example: lim x →3 x 2 + 3 x x3 = Example: lim x → 3 x 29 x3 =...
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This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.
 Spring '08
 Smith
 Calculus

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