Answered: 11) Test the series for con convergence… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

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Question

11) Test the series for conv
2 (-1)^ Sin² (3 vergence
n =
n
Compute the derivative d bn.
=
an
Since d bn
an
or
divergence
b₁ = sin² (30)
n
2
the sequence
The alternating series test us
is eventually always <1
is eventually always >1
is eventually always <0
is eventually always 70
keeps changing sign
is eventually monotone
Is not monotone
the series converges
the series diverges
nothing

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