Unformatted text preview: ² + 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 , deﬁned by f ( x ) := 2 x + 3 for x ∈ R , is continuous at x by verifying the εδ property. Let ε > 0 and set δ := ε/ 2. Let x ∈ R and suppose that  xx  < δ . Then we have  f ( x )f ( x  =  2 x + 32 x3  = 2  xx  < 2 δ = ε. Hence, f is continuous at x . ±...
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 Spring '08
 Katsuura,H
 Math, Calculus, Zürich Hauptbahnhof, ﬁrst ﬁve terms

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