whether the sequence an = 1+ converges and, if it does, find the limit. ) diverges 3 O converges to 2 O converges to 1 O converges to e"- O converges to e2

Q: 3 1+e п

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Q: 3. True or False? Prove your answer! a) Suppose the sequence (xn) does not converge to 0. Then, for…

A: A sequence is said to be converge if it has limit (finite)

Q: Determine if converge or diverge using nth term and if converge find its limit

A: Finally, we can say that : The sequence an​=(−1)nn+1n​ diverges.The sequence an​=4n3n+n​​…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (2n-1)!] a)…

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Q: Sequences {xn} and {yn} such that they are both convergent and {xn+yn} maps to 5

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Q: Assume that the sequence shown below converges and find its limit. √3, √3+√3,√√3+√3+√3 √3+₁ " 3 +…

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Q: If an diverges and 0 (-1)"an converges. n=1 B)>(-1)"b, converges. n=1 c) 2(-1)"bn diverges. n=1 D b,…

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Q: Theorem 72. (Products of two convergent sequences) Let {px} be a sequence that converges to x and…

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Q: 00 Let r be a constant. Suppose ' converges to -1, then the sum of )r' is i-1 i-0

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Q: In(1+2e") d) an n

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a) {tan"(n²)} p-1 n=1

A: There are multiple question. As per company policy kindly ask other question separately. a. This…

Q: g) an = In(n+ 1) – In(n) (Hint: simplify the logarithms) (-3)" h) an n! i) an = Vn + 2 – V2n

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Q: a, > 0 and Ea, converges, then (-1)"an converges O False O True

A: This is Not True. Hence False is the correct answer. We will prove this by taking an example, Let…

Q: Suppose that a sequence {an}_₁ converges to. Which of the following is the limit of the sequence…

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Q: 14. Divergent or convergent? If convergent, show the limit nsin(n) an n2 + 1

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Q: 00 4" Use the ratio test to determine whether > converges or diverges. (2n)! n=7 (a) Find the ratio…

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Q: What limit does [1; 1, 2, 1, 2, 1, 2, ..... ] converge to? How did you find/work this out?

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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.