Answer: Prove each statement in 823 by mathematical induction

Chapter 5, Problem 21

(choose chapter or problem)

Prove each statement in 8–23 by mathematical induction.

\(\sqrt{n}<\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\cdots+\frac{1}{\sqrt{n}}\), for all integers n ≥ 2.

Text Transcription:

sqrt n < 1 / sqrt 1 + 1 /  sqrt 2 + cdots + 1 / sqrt n

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