Let {an} be a positive sequence such that lim Van 1 Determine which of the following 3 n00 series diverge. Select all that apply. O A. 2" an n=1 В. E 4" an n=1 Oc. 00 an n=1 D. E5"an n=1 O E. an n=1

Q: Which of the following are geometric series? 2" 29" n=0 2(2n)" n=0 2 n5 n=0 n² 3" n=0 WI ¿W! :W? 8WI

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Q: Given the power series expression E n A xln + 2) n = 1 + 2 3 A x" n = 1 1. Force the first power…

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Q: Find a geometric power series for the function Select one: है n=0 6" + 1 a. O b. OC. Z Ž x" n=0 6²+1…

A: The given function is . The geometric power series of the above function is required.

Q: Given the power series expression 00 2 3 A x" + 2 2A x" n = 1 n = 3 1. Force the first power series…

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Q: Mark each series as convergent or divergent. 00 3 1. n5 – 36 n-3 In(n) 2. 5n 00 3 3. п(п + 4) n=1 00…

A: As per the guidelines we can solve 3 sub bits only

Q: Assume a sequence xn satisfies 0 1 for any n e N. Prove that 1. xn is an increasing sequence. 1 2.…

A: The given sequence is: 4xn+1(1-xn)≥1, where0<xn<1 for any n∈ℕ To prove: 1) xn as an increasing…

Q: Evaluate th e relate series of each sequence. 1) -7,-5,-3,-1,1,3

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.