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− (−1)″ n² 2" 9 =0--+1-−+1− 8 (a) Notice the that terms alternate, but some get larger in absolute value. Technically, can we use AST for this series? If all the terms after n = 4, get smaller in absolute value, could the "nested convergence" idea of the AST be applied to Sn, for n> 4? Explain or draw a diagram. 4. S= n=0 antl n-an 25 36 + 32 64 (b) Show steps and find lim ∞ (c) Based on (b), does S converge or diverge? Does T = converge or diverge? n=0 2"

− (−1)″ n² 2" 9 =0--+1-−+1− 8 (a) Notice the that terms alternate, but some get larger in absolute value. Technically, can we use AST for this series? If all the terms after n = 4, get smaller in absolute value, could the "nested convergence" idea of the AST be applied to Sn, for n> 4? Explain or draw a diagram. 4. S= n=0 antl n-an 25 36 + 32 64 (b) Show steps and find lim ∞ (c) Based on (b), does S converge or diverge? Does T = converge or diverge? n=0 2"

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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4. S= (-1)" 2" = | (b) Show steps and find lim 11 00 9 R 36 +1-+- 32 64 an+1 an E 2 2 n=0 (a) Notice the that terms alternate, but some get larger in absolute value. Technically, can we use AST for this series? If all the terms after n = 4, get smaller in absolute value, could the "nested convergence" idea of the AST be applied to Sn, for n> 4? Explain or draw a diagram. 4 3 (c) Based on (b), does S converge or diverge? Does T = converge or diverge? n=0 2" D
Transcribed Image Text:4. S= (-1)" 2" = | (b) Show steps and find lim 11 00 9 R 36 +1-+- 32 64 an+1 an E 2 2 n=0 (a) Notice the that terms alternate, but some get larger in absolute value. Technically, can we use AST for this series? If all the terms after n = 4, get smaller in absolute value, could the "nested convergence" idea of the AST be applied to Sn, for n> 4? Explain or draw a diagram. 4 3 (c) Based on (b), does S converge or diverge? Does T = converge or diverge? n=0 2" D
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