Find the radius of convergence, R, of the series. 00 x7 +9 9n! n = 2 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) Step 1 We will use the Ratio Test to determine the radius of convergence. We have the following. lim n→ ∞ +7 + 10 a, n+1 = lim 9(n + 1)! an n→ ∞o +7 +9 9n! = lim noo xn+10 9(n + 1)! Step 2 Simplifying, we get lim n→ ∞o X n! n! x7 +9
Find the radius of convergence, R, of the series. 00 x7 +9 9n! n = 2 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) Step 1 We will use the Ratio Test to determine the radius of convergence. We have the following. lim n→ ∞ +7 + 10 a, n+1 = lim 9(n + 1)! an n→ ∞o +7 +9 9n! = lim noo xn+10 9(n + 1)! Step 2 Simplifying, we get lim n→ ∞o X n! n! x7 +9
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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