(– 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
icon
Related questions
Question
(– 1)^-1(2x+1)
Does the power series
converge when x= 0?
n=1
(- 1)n-1
No, the series is equiavelent to
n=1
and therefore diverges.
O No, since the series cannot be evaluated when X=0.
(– 1)"-1
(– 1)^-1
Yes, when X =0 the series is equivalent to
and since lim
= o the Divergence Test tells us it converges.
n=1
n+ 00
Yes, the series is equivalent to
(– 1)n-1
and therefore converges.
n=1
O O
Transcribed Image Text:(– 1)^-1(2x+1) Does the power series converge when x= 0? n=1 (- 1)n-1 No, the series is equiavelent to n=1 and therefore diverges. O No, since the series cannot be evaluated when X=0. (– 1)"-1 (– 1)^-1 Yes, when X =0 the series is equivalent to and since lim = o the Divergence Test tells us it converges. n=1 n+ 00 Yes, the series is equivalent to (– 1)n-1 and therefore converges. n=1 O O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Laplace Transformation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage