(Solution Library) Estimate the error using the indicated partial sum S_80, ∑limits_k=1^∞
Question: Estimate the error using the indicated partial sum
\[{{S}_{80}},\,\,\,\sum\limits_{k=1}^{\infty }{\frac{2}{{{k}^{2}}+1}}\]
Deliverable: Word Document 
(All Steps) Estimate the error using the indicated partial sum
![[See Steps] Consider the spherical tank below.](/images/solutions/MC-solution-library-71820.jpg "[See Steps] Consider the spherical tank below. If the tank is full")
[See Steps] Consider the spherical tank below. If the tank is full
![[Solution Library] Solve the same problem as](/images/solutions/MC-solution-library-71821.jpg "[Solution Library] Solve the same problem as above if the tank is two thirds")
[Solution Library] Solve the same problem as above if the tank is two thirds
(Steps Shown) Consider the spherical tank below. If the tank is full
(See Steps) Solve the same problem as above if the tank is two thirds
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