How to determine nln(n)/(n+1)^3 is convergent or divergent?

Q: How to prove {sin(n)} is a bounded seuqence that does not converge?

A: To prove xn=sinn is bounded. By definition, a sequence xn is bounded if it is both bounded above and…

Q: Q5: a\. Let f(x) = x³ - 3x² -1, x ≥ 2. State and prove the theorem of derivative of inverse…

A: Here , f(x) = x3-3x2-1 We find required value.

Q: 2. Absolute convergent, conditional convergent, or divergent? i) E(-1)k 25k +8 k = 1 ii) E(-1)k 3*+±…

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Q: exmine if HS Convergent or divergent a) 2n²+3 8n7 7ntG

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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: (-1)"-1 (In n)" 00 23. E n=2

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Q: Determine whether sum ((5n12 +1)1/3 )/((3n12 -1)1/2) converges or diverges.

A: Given series is

Q: 17. Divergent or convergent? If convergent, show the lim n3 + 2 an 2n3 + 1

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Q: Does a(n)= n^2sin(3/n^2) converge?  If so, to where

A: The given question can be solved as shown in step2.

Q: 00 gent. 11xe -x2 xp convergent

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Q: The series | 8 - 8n| ≤ f(x) dx = 8 22 n=2 is convergent. (A). According to the Remainder Estimate…

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