Use the Ratio Test to determine whether the series is convergent or divergent. 00 6 12 18. • . (6n) n! Identify an (6n)! n = 1 n! . 6 · 12 · 18 · . . . . • (6n) n (6n)! n 6 · 12 · 18 · 6n! n! n! (6n) Evaluate the following limit. lim n → ∞ a 'n +1 Since lim an+1 1, the series is divergent n → ∞
Use the Ratio Test to determine whether the series is convergent or divergent. 00 6 12 18. • . (6n) n! Identify an (6n)! n = 1 n! . 6 · 12 · 18 · . . . . • (6n) n (6n)! n 6 · 12 · 18 · 6n! n! n! (6n) Evaluate the following limit. lim n → ∞ a 'n +1 Since lim an+1 1, the series is divergent n → ∞
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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