Prove that for any natural number n, 2(√√n +1 − 1) <1+ 1 √2 + <2√n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 24E
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3. Prove that for any natural number n,
2(√n +1 − 1) < 1+
/2
1
+ <2√n.
√n
Transcribed Image Text:3. Prove that for any natural number n, 2(√n +1 − 1) < 1+ /2 1 + <2√n. √n
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