For n N, let cn be defined by cn := 1/1 + 1/2 + +1/n - ln

Question:

For n ˆˆ N, let cn be defined by cn := 1/1 + 1/2 + ˆ™ ˆ™ ˆ™+1/n - ln n. Show that (cn) is a decreasing sequence of positive numbers. Show that if we put
For n ˆˆ N, let cn be defined by cn

then the sequence (bn) converges to ln 2. [bn = c2n - cn + ln 2.]

Fantastic news! We've located the answer you've been seeking!

Step by Step Answer:

Related Book For  answer-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

Question Posted: