1. Use the Monotone Convergence Theorem to show that the sequence (a,} converges, where a, = n! for each positive integer n. (-) for all n eN such that n22. Determine whether the 2. Let b, - cos and c, - cos given series converges or diverges. (a) E. 2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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1. Use the Monotone Convergence Theorem to show that the sequence {a,} converges, where
n!
for each positive integer n.
(-)
2. Let b, - cos
and c. cos
for all n eN such that n 2 2. Determine whether the
given series converges or diverges.
( a) Σ
(b) (. - .)
Transcribed Image Text:1. Use the Monotone Convergence Theorem to show that the sequence {a,} converges, where n! for each positive integer n. (-) 2. Let b, - cos and c. cos for all n eN such that n 2 2. Determine whether the given series converges or diverges. ( a) Σ (b) (. - .)
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