ect ALL the true statements about geometric series: ar The p-series is absolutely convergent whenever p>1. Geometric series are absolutely convergent if |r|<1. The geometric series converges whenever Ir|≤ 1. In a p-series, both n and p are variables. The geometric series has value - if |r|<1. a 1-r The p-series has the same value as the p-integral. and p-seri Select all that apply.)

Q: Let {an} be such that an 0 and let lim an+1| JanT = 0.5. Which of the following statements is always…

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Q: Determine whether the series is convergent or divergent. If the series is c 5k +2k gk find its…

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Q: Prove divergence or convergence. Also, find the sum of the series if possible.

A: We first expand the sum The first series is geometric series with a common ratio 1/3 &lt;1 so it…

Q: 00 3n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity"…

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Q: (-1)" is convergent or divergent. If convergent, classify the series as 00 Σ 9. Determine if n=1…

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Q: (7n3 +1 6n3 + 3 Consider the series Evaluate the the following limit. If it is infinite, type…

A: L=limn→∞|an|nL=limn→∞7n3+16n3+3nnL=limn→∞7n3+16n3+3L=limn→∞7n3+1n36n3+3n3  [Divide numerator and…

Q: Consider the alternating series 00 |R351 ≤ 1 Σ(-1). (n + 4)7 n = 1 It can be shown that this series…

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