[Solution Library] Show that if ∑_n=1^∞ a_n converges, then ∑_n=1^∞((1+ sin (a_n))/(2))^n
Question: Show that if \(\sum_{n=1}^{\infty} a_{n}\) converges, then
\[\sum_{n=1}^{\infty}\left(\frac{1+\sin \left(a_{n}\right)}{2}\right)^{n}\]converges.
Deliverable: Word Document 
![[Solution Library] a. Show that ∑_n=1^∞ (n(n+1))/(x^n)=(2](/images/solutions/MC-solution-library-33562.jpg "[Solution Library] a. Show that ∑_n=1^∞ (n(n+1))/(x^n)=(2 x^2)/((x-1)^3)")
[Solution Library] a. Show that ∑_n=1^∞ (n(n+1))/(x^n)=(2 x^2)/((x-1)^3)
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