[Steps Shown] Use the Integral Test to show that if p>1, then the series ∑limits_n=1^∞ (n)/((1+n^2))^p
Question: Use the Integral Test to show that if \(p>1\), then the series \(\sum\limits_{n=1}^{\infty }{\frac{n}{{{\left( 1+{{n}^{2}} \right)}^{p}}}}\) converges.
Deliverable: Word Document 
(See Solution) (a) Explain why the series ∑limits_n=0^∞
(Solution Library) Which of the following series converges absolutely,
[Solution Library] Test for convergence:
![[Steps Shown] Determine the interval of convergence](/images/solutions/MC-solution-library-42998.jpg "[Steps Shown] Determine the interval of convergence of")
[Steps Shown] Determine the interval of convergence of
[Solution] By manipulating the series ∑limits_n=0^∞
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