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1 (+1)mu(x-3 n=1

1 (+1)mu(x-3 n=1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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For the next two exercises, determine if the given alternating series converges or diverges. Some of the series may not satisfy the conditions of the Alternating Series Test. ∞ ΠΣ-1 (1+1) 2 (-1)n+1²+5 n=1 n² +4 n=1 For the next two exercises, determine if the series converges absolutely, converges conditionally or diverges. 1 1 1 3 Σ (-1)" √n + √n+1 4 1+ 1 1 1 1 + + + 9 16 25 36 49 64 ... n=1 5 Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series 1 = =(-1)¹², 0<t<1. 1+t 7=0
Transcribed Image Text:For the next two exercises, determine if the given alternating series converges or diverges. Some of the series may not satisfy the conditions of the Alternating Series Test. ∞ ΠΣ-1 (1+1) 2 (-1)n+1²+5 n=1 n² +4 n=1 For the next two exercises, determine if the series converges absolutely, converges conditionally or diverges. 1 1 1 3 Σ (-1)" √n + √n+1 4 1+ 1 1 1 1 + + + 9 16 25 36 49 64 ... n=1 5 Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series 1 = =(-1)¹², 0<t<1. 1+t 7=0
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