cos(na)(2n2 +n-1) 1+n3 conditionally convergent, absolutely convergent, or divergent? Justify your answer. 00 ). Does nsin converge or diverge? Justify your answer.

Q: * 8 1-U 1=M 3 n = 2 (7) e n n³+1 = 20 Convergent / Divergent ? Conu. / Div. ?

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Q: (21) Determine if the sequence if convergent. Explain your conclusion. (a) Cn n²-1 n²+8 (b) Cn (c)…

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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: An example of: Σ(an/bn) may diverge even though Σan and Σbn converge (show each step please)?

A: We have to show that Σ(an/bn) may diverge even though Σan and Σbn converge

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Q: For which values of p does Σ en n=1 (1+e⁹n) 8p PE converge? (Give your answer as an interval in the…

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Q: Determine whether converges or diverges. Show complete solution.

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Q: 23k-2 00 . Use the ratio test to determine if > 'k²3?k+1 converges or diverges. k=1

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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…

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Q: Let f(x) = with po e 0.5 on [0, 1]. Check the conditions of the fixed point theorem and subsequently…

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Q: 2n Let an= 7n + 1 (a) Determine whether (an} is convergent. convergent divergent (b) Determine…

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Q: +00 Inn E(-1)": n2 n=2

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Q: (-3)" converges or diverges. Vn Determine whether n=1

A: ∑n=1∞-3nn Here, an=-3nn