16 нояб. 2022 г. · In this section we will discuss using the Alternating Series Test to determine if an infinite series converges or diverges. |
The alternating series test is the method used to show that an alternating series is convergent when its terms (1) decrease in absolute value, and (2) approach ... Alternating series test · Alternating series estimation... |
20 авг. 2024 г. · Use the alternating series test to test an alternating series for convergence. Estimate the sum of an alternating series. Explain the ... |
Given an alternating series , ∑ ( − 1 ) k a k , if the sequence { a k } of positive terms decreases to 0 as , k → ∞ , then the alternating series converges. 🔗. |
This module will introduce the Alternating Series Test, which works on series in which the terms have alternating signs. |
Problem. What are all of the positive values of p such that ∑ n = 1 ∞ ( − 1 ) n − 1 ( 2 p ) n converges? |
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