(1) Show that the series n+1 n -1 and n3 +1 n=2 converge. Be very clear about the steps you are taking.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(1) Show that the series
n+1
n
and
n3 +1
n=1
n3 – 1
n=2
converge. Be very clear about the steps you are taking.
(2) Compute
2" – 3n+2
5n-1
n=4
by explaining clearly why the series converges, and then actually
providing the value it converges to.
Transcribed Image Text:(1) Show that the series n+1 n and n3 +1 n=1 n3 – 1 n=2 converge. Be very clear about the steps you are taking. (2) Compute 2" – 3n+2 5n-1 n=4 by explaining clearly why the series converges, and then actually providing the value it converges to.
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