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a) Determine the convergence or divergence of the series using ratio test. 1/2 - 2/22 + 3/2³ - 4/24 + ... + (-1)"+¹ n/2" b) Determine the convergence or divergence of the series using ratio test. 2/3 + 3/32 + 4/33 + ... + n+1/3" C) Find the nth term for the series, 3/1(2) — 5/3(4) - 7/5(6) 9/7(8) + 11/9(10) - *** + d) Find the nth term for the series, 1/3 − 1 + 9/5 − 8/3+ e) Find the nth term for the series, 1 = x/4! + x²/7! - x²³/10! + ... -

a) Determine the convergence or divergence of the series using ratio test. 1/2 - 2/22 + 3/2³ - 4/24 + ... + (-1)"+¹ n/2" b) Determine the convergence or divergence of the series using ratio test. 2/3 + 3/32 + 4/33 + ... + n+1/3" C) Find the nth term for the series, 3/1(2) — 5/3(4) - 7/5(6) 9/7(8) + 11/9(10) - *** + d) Find the nth term for the series, 1/3 − 1 + 9/5 − 8/3+ e) Find the nth term for the series, 1 = x/4! + x²/7! - x²³/10! + ... -

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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a) Determine the convergence or divergence of the series using ratio test. ½/22/22 + 3/2³ - 4/24 + ... + (-1)"+¹ n/2" b) Determine the convergence or divergence of the series using ratio test. 2/3 + 3/32 + 4/33 + ... + n+1/3" c) Find the nth term for the series, 3/1(2) − 5/3(4) + - 7/5(6) 9/7(8) + 11/9(10) - - *** d) Find the nth term for the series, 1/3 - 1 + 9/5 - 8/3+ *** e) Find the nth term for the series, 1-x/4! + x²/7! - x²³/10! + ...
Transcribed Image Text:a) Determine the convergence or divergence of the series using ratio test. ½/22/22 + 3/2³ - 4/24 + ... + (-1)"+¹ n/2" b) Determine the convergence or divergence of the series using ratio test. 2/3 + 3/32 + 4/33 + ... + n+1/3" c) Find the nth term for the series, 3/1(2) − 5/3(4) + - 7/5(6) 9/7(8) + 11/9(10) - - *** d) Find the nth term for the series, 1/3 - 1 + 9/5 - 8/3+ *** e) Find the nth term for the series, 1-x/4! + x²/7! - x²³/10! + ...
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