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2 (a) Use the Comparison Test to show that the series=1 4n3n²+3 converges. (You may use the fact converges if k >1 and diverges if 0 < k < 1.) that the series 1 (b) Use the Ratio Test to decide whether the series En=1 4√n converges or diverges. 3" (c) Use the Alternating Series Test to show that the series En-1 2n-1 converges. (-1)"

2 (a) Use the Comparison Test to show that the series=1 4n3n²+3 converges. (You may use the fact converges if k >1 and diverges if 0 < k < 1.) that the series 1 (b) Use the Ratio Test to decide whether the series En=1 4√n converges or diverges. 3" (c) Use the Alternating Series Test to show that the series En-1 2n-1 converges. (-1)"

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2 (a) Use the Comparison Test to show that the series Σ=1 4n3n²+3 converges. (You may use the fact that the series converges if k > 1 and diverges if 0 < k < 1.) 1 32 (b) Use the Ratio Test to decide whether the series -1 4√n converges or diverges. converges. (c) Use the Alternating Series Test to show that the series n-12-1 (-1)"
Transcribed Image Text:2 (a) Use the Comparison Test to show that the series Σ=1 4n3n²+3 converges. (You may use the fact that the series converges if k > 1 and diverges if 0 < k < 1.) 1 32 (b) Use the Ratio Test to decide whether the series -1 4√n converges or diverges. converges. (c) Use the Alternating Series Test to show that the series n-12-1 (-1)"
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