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Unformatted text preview: + 1 4 k + 1 = 1 + 1 4 k + 1 . Hence, s n k 1 where n k = 4 k + 1. 2. Let x R . Prove that the realvalued function f , dened by f ( x ) := 2 x + 3 for x R , is continuous at x by verifying the  property. Let > 0 and set := / 2. Let x R and suppose that  xx  < . Then we have  f ( x )f ( x  =  2 x + 32 x3  = 2  xx  < 2 = . Hence, f is continuous at x ....
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 Spring '08
 Katsuura,H
 Math, Calculus

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