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Use the Ratio Test to determine the convergence or divergence of the series. Step 1 Step 2 6 Recall the Ratio Test states that if a, is a For this series, a Find lim +¹. lim n! 60 Pn+¹|. lim 848 'n - lim 6 series with nonzero terms and lim is a series with nonzero terms and lim n+1 <1, then Σa converges✔ P 1 n+1 6 x X f converges absolutely. If lim n+1 > 1 or lim n+1-on, then a, diverges.✔ 848 an diverges.

Use the Ratio Test to determine the convergence or divergence of the series. Step 1 Step 2 6 Recall the Ratio Test states that if a, is a For this series, a Find lim +¹. lim n! 60 Pn+¹|. lim 848 'n - lim 6 series with nonzero terms and lim is a series with nonzero terms and lim n+1 <1, then Σa converges✔ P 1 n+1 6 x X f converges absolutely. If lim n+1 > 1 or lim n+1-on, then a, diverges.✔ 848 an diverges.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Tutorial Exercise Use the Ratio Test to determine the convergence or divergence of the series. Step 1 Step 2 A 00 n = 0 Recall the Ratio Test states that ifa is a series with nonzero terms and lim n n→∞o Find lim For this series, a n n→∞ n! 67 a "n +1 a lim n→∞ n! 67 a 'n + 1 | ³0+1 | a = lim n→ ∞ = lim n→∞ 6 1 n+1 67 +1 X X 67 n! n+ 1 |³a|¹| < 1, then a converges n converges absolutely. If lim n→∞ a 'n + 1 a, n > 1 or lim n→∞ "n +1 a, n = ∞o, then an diverges. diverges.
Transcribed Image Text:Tutorial Exercise Use the Ratio Test to determine the convergence or divergence of the series. Step 1 Step 2 A 00 n = 0 Recall the Ratio Test states that ifa is a series with nonzero terms and lim n n→∞o Find lim For this series, a n n→∞ n! 67 a "n +1 a lim n→∞ n! 67 a 'n + 1 | ³0+1 | a = lim n→ ∞ = lim n→∞ 6 1 n+1 67 +1 X X 67 n! n+ 1 |³a|¹| < 1, then a converges n converges absolutely. If lim n→∞ a 'n + 1 a, n > 1 or lim n→∞ "n +1 a, n = ∞o, then an diverges. diverges.
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