(– 1)^-1(2x+ 1) Does the power series E n=1 converge when x= 0? in No, the series is equiavelent to - 1)^-1 and therefore diverges. n=1 n O No, since the series cannot be evaluated when X = 0. (– 1)"-1 (- 1)n-1 Yes, when X = 0 the series is equivalent to 2 n=1 and since lim = 0 the Divergence Test tells us it converges. (– 1)"-1 Yes, the series is equivalent to E and therefore converges. 1 -ח
(– 1)^-1(2x+ 1) Does the power series E n=1 converge when x= 0? in No, the series is equiavelent to - 1)^-1 and therefore diverges. n=1 n O No, since the series cannot be evaluated when X = 0. (– 1)"-1 (- 1)n-1 Yes, when X = 0 the series is equivalent to 2 n=1 and since lim = 0 the Divergence Test tells us it converges. (– 1)"-1 Yes, the series is equivalent to E and therefore converges. 1 -ח
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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