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Unformatted text preview: Lecture 6 10 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 . Lecture 6 11 Properties of Limits (p. 102) Let lim x → a f ( x ) = L , and let lim x → a g ( x ) = M . Then for any real numbers c and r , 1) lim x → a cf ( x ) = c [lim x → a f ( x )] = 2) lim x → a [ f ( x ) ± g ( x )] = lim x → a f ( x ) ± lim x → a g ( x ) = 3) lim x → a [ f ( x ) g ( x )] = [lim x → a f ( x )][lim x → a g ( x )] = 4) lim x → a f ( x ) g ( x ) = lim x → a f ( x ) lim x → a g ( x ) = 5) lim x → a [ f ( x )] r = [lim x → a f ( x )] r = Lecture 6 12 NOTE: If p ( x ) is a polynomial, then lim x → a p ( x ) = ex. lim x →1 x 2 + 2 x3 = ex. lim x →3 x 2 + 3 x x3 = ex. lim x → 3 x 29 x3 =...
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 Spring '08
 Smith
 Calculus, Limit, lim

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