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Use the Alternating series test to find convergence or divergence of given series _i=1 ^infinity (-1)^(i+1)*(i+3)/(i^2+10) please show all work

Use the Alternating series test to find convergence or divergence of given series
∑_i=1 ^infinity (-1)^(i+1)*(i+3)/(i^2+10)
please show all work
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Math-8230060.doc

Let, =
=
=
=
=0 So, the given series is absolutely convergent ANS:
The given series is absolutely convergent.

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