Example 8-2-16 - Maple Help

# Online Help

###### All Products    Maple    MapleSim



Chapter 8: Infinite Sequences and Series



Section 8.2: Series

Example 8.2.16



 a) Show that Leibniz' theorem on the convergence of alternating series applies to the alternating harmonic series. (See Table 8.2.2.)
 b) Use Maple to show that the sequence of partial sums converges to $\mathrm{ln}\left(2\right)$.
 c) Test the claim that a partial sum is closer to the sum than the magnitude of the first neglected term.







© Maplesoft, a division of Waterloo Maple Inc., 2021. All rights reserved. This product is protected by copyright and distributed under licenses restricting its use, copying, distribution, and decompilation.

For more information on Maplesoft products and services, visit www.maplesoft.com