Write True if the statement is true. If the statement is false, explain briefly why it is so.(a) Suppose the infinite series > an is divergent. Then for any constant c, the seriesΣn=1can is also divergent.n=1(b) Let sn = ai +... + an. If lim sn = 0, then the series > an is convergent.n→+∞n=1(c) Given the alternating series > (-1)"an. If an is increasing or lim an #0 then then→+on=1given series is divergent.

True/False (Explain if false)(a) Suppose the infinite series ∑n=1∞an is divergent. Then for any…

Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) Suppose the infinite series an is divergent. Then for any constant c, the series n=1 Σ can is also divergent. n=1 (b) Let sn = a1i+ + an. If lim sn n→+∞ 0, then the series an is convergent. ... n=1 (c) Given the alternating series E(-1)"an. If an is increasing or lim an #0 then the n→+∞ n=1 given series is divergent

Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) Suppose the infinite series an is divergent. Then for any constant c, the series n=1 Σ can is also divergent. n=1 (b) Let sn = a1i+ + an. If lim sn n→+∞ 0, then the series an is convergent. ... n=1 (c) Given the alternating series E(-1)"an. If an is increasing or lim an #0 then the n→+∞ n=1 given series is divergent

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 50E

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