(a) If the terms an of a convergent sequence are all positive, then limn→0 An is positi (b) If limn∞ an=1, then ao + a1 + a2 +... is unbounded. (c) If {an} diverges and {b,} diverges, then {an + bn} diverges. (d) If {an} converges and {bn} diverges, then {an + bn} converges.
(a) If the terms an of a convergent sequence are all positive, then limn→0 An is positi (b) If limn∞ an=1, then ao + a1 + a2 +... is unbounded. (c) If {an} diverges and {b,} diverges, then {an + bn} diverges. (d) If {an} converges and {bn} diverges, then {an + bn} converges.
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 72E
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