(i) Σ(−1)n+1, n=1 n n²+n [2]

Q: Determine whether the series a₁ = 5, an+1 = n n a 12 n given but the recursion formula converges or…

A: We have to check the convergence of the series.

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 1…

A: The given series is, ∑n=1∞n!(-e)-3n. To find convergence by ratio test : limn→∞an+1an=L If L<1…

Q: Consider the series E an, where all the terms an are given to be positive real numbers. Suppose that…

A: Given  that : State whether this is true or false. If true, give an explanation. If false, give a…

Q: Determine whether the following series converges. Justify your answer. ∞ 5k +12k Σ 12k k=1 CL Select…

A: The given series is  ∑k=1∞5k+12k12k                       = ∑k=1∞512k+12k12k…

Q: Determine whether the following series converges. 00 - k2 + 5 k 2

A:

Q: Use the Root Test to determine if the series converges or diverges. -104² Σ k=1

A: We need to check the convergence of the series: ∑k=1∞1-10kk2 using the root test.

Q: 1 Σ (k +3)(k + 4) k=1

A:

Q: Determine if the following series converges or diverges. If it is a converging geometric or…

A: The series is .