(a) Prove that (2x + 2) > 1 for all x > 0. (b) Let so > 0, and sn+1= } (2s, + ) for all n > 0. Prove that (sn) is convergent and find its 3 limit.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 5E
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(a) Prove that (2x + ) > 1 for all x > 0.
(b) Let so > 0, and sn+1 = 3 (2sn +)
for all n > 0. Prove that (s,) is convergent and find its
limit.
Transcribed Image Text:(a) Prove that (2x + ) > 1 for all x > 0. (b) Let so > 0, and sn+1 = 3 (2sn +) for all n > 0. Prove that (s,) is convergent and find its limit.
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