11) Test the series for con convergence E (-1)^ sin² (3n) n n=1 = Compute the derivative d br an Since d bn an divergence b= sin² (3n) 2 the sequence The alternating series test us is eventually always 41 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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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