14. Determine which of the following series converge absolutely, converge conditionally or which dive answers. a) Σ=1(-1)*+1 b) Σ=1(−1)*+1_1 n n³+1 n+3

Q: -n=2 1 n(Inn)2

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Q: Determine whether the series converges or diverges.

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Q: Determine the convergence or divergence of the series.

A: Refer to explanation block Explanation:

Q: 3. For the SERIES determine whether it converges or diverges. If it converges, find n=0 the sum.

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Q: 10. Determine whether the given series converges or diverges. If it converges, find its sum. -2 n=0…

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Q: Find the Generating function for the sequence  1,2,4,8,16,.....  Also find for which value the…

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Q: 6. State whether each telescoping series converges or diverges. If it converges, state the number…

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Q: n(n+1) 8 3-En-1 (n²+1) (n-1)

A: We have to determine whether the series converges or diverges

Q: Determine if each geometric series converges or diverges. 20) 3-2"-1

A: The given question is related to series. The solution is explained below.

Q: Determine whether the given geometric series is convergent or divergent. Justify your answer. If it…

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Q: 11. Explain why all the terms of a divergent geometric seriesare nonzero.

A: Solution: We have given geometric series: First of all, we are going to understand the concept of a…

Q: 2 a. Prove that if a, is a convergent series of nonnegative terms, then a, converges. 2 b. If we…

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Q: Usc the Raho Testh to detcrmine whether the series is convergen or diveraent n 100

A: In order to apply the ratio test, we calculate the ratio, R as shown on the white board, where Tn is…

Q: 1 1 + 27 1 + 125 8 64

A: we have to determine whether the given series converges or diverges. 1+18+127+164+1125+...........

Q: Let u (x, t) defined for a e [0, 1] and t 20 such that Ut = Uxx for t>0, 0 0, (2.8) u(x,0) = u°(x),…

A: The equation is ut=uxx for t>0, 0<x<1 Consider uxi, tj=ui, j: Then, u0, tj=u1, tj=0uxi,…

Q: 2. When can you say that a SERIES or SEQUENCE diverges? Prove it using mathematical approach.

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Q: omplete the following: use >, =, <=, converges, diverges, geometric, p, or telescoping to fill in…

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Q: infty 26. E n² – 1 n=2

A: Telescoping series is a series where all terms cancel out except for the first and the last term.

Q: 2 +.. 10000 converges? Justify your answers by recognizing this series as a geometric series. 2 2 3.…

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Q: (-1)r+1 Vn + 1 n+ 1 10. -1)n+1, N=1

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Q: n=2 (Inn)² n³ 3

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Q: An infinite series converges if its sequence of terms converges.

A: Solution ) if the sequence of the partial sum toward to the finite limit is converges it will be…

Q: 12 n 12 n+ 3.64 2 n converges to The sequence an = Note: You may need to use the command.evalf() to…

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