2). Suppose that ∞ n = 0 an(x + 4)n converges at x = −5. At which of the following points must the series also converge? Use the fact that if an(x − c)n converges at x, then it converges at any point closer to c than x. (Select all that apply.) x = −6 x = −4 x = 0 x = 0.000001 x = 3.99 x = 5. please show step by step .
2). Suppose that ∞ n = 0 an(x + 4)n converges at x = −5. At which of the following points must the series also converge? Use the fact that if an(x − c)n converges at x, then it converges at any point closer to c than x. (Select all that apply.) x = −6 x = −4 x = 0 x = 0.000001 x = 3.99 x = 5. please show step by step .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Question
2).
Suppose that
∞
n = 0
an(x + 4)n
converges at
x = −5.
At which of the following points must the series also converge? Use the fact that if
an(x − c)n
converges at x, then it converges at any point closer to c than x. (Select all that apply.)
x = −6
x = −4
x = 0
x = 0.000001
x = 3.99
x = 5.
please show step by step .
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