Answered: Decide whether or not the given…

Decide whether or not the given sequence converges to a limit. If it does not, find, in each case, at least one convergent subsequence. We suppose n= 1, 2, 3,... xn = (-1)n(1-(1/n))

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 64E

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Question

Decide whether or not the given sequence converges to a limit. If it does not, find, in each case, at least one convergent subsequence. We suppose n= 1, 2, 3,...

x_n = (-1)ⁿ(1-(1/n))

Expert Solution