Show that the series X∞
n=1
(−1)n
n
converges.

To show that the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{n}\) converges, we can use the Alternating Series Test (also known as the Leibniz Test). The Alternating Series Test states that an alternating series \(\sum_{n=1}^{\infty} (-1)^{n} a_n

Learn how to prove the convergence of the alternating series sum \(\sum_{n=1}^{\infty} \frac{(-1)^n}{n}\) using the Alternating Series Test (Leibniz Test). This problem involves understanding alternating series and convergence tests, suitable for advanced high school students and college-level learners.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation