00 5. Given the series an, let SN > an be its N th partial sum. Suppose that SN = 8 %3D N2 n-1 n-1 A) Find a3. [ Select ] B) Find the sum of the series an, or show that the series diverges. [ Select ] n=1 C) Find lim an [ Select ] n00

Q: 3 Use the limit comparison test to determine if the series> a, converges or diverges. 5(1+ +)n(1+;)…

A: Convergence or divergence of the seriese

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Q: 10. ∞ Show that the series converges: Σ n=1 a. Find the 25th partial sum: S25 · (−1)n+1 2η2 +1

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Q: If the partial sums s of E an are bounded, show that the series E converges to n(n+1)

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Q: 54. If sz is the k th partial sum of the harmonic series, prove that In (k + 1) < S <1+ln k. Hint: 1…

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Q: 2" The series Ln=1 Tn5" 00 Select one: O a. Converges by the limit comaprison with E=1 2" 2" 00 O b.…

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Q: Compute the general term an of the series with the partial sum Sn = 2 n + 2 , п> 0. 2" %3| - An =

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Q: Suppose E an has partial = an 21. n=1,2,3,.. Sums Does the series converge ? Find an fn n7a.…

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