4n Let an %3D 7n + 1 (a) Determine whether {an} is convergent. O convergent O divergent (b) Determine whether > an is convergent. n = 1 convergent O divergent

Q: 4n Let an = 3n + 1 (a) Determine whether {a,} is convergent. O convergent O divergent (b) Determine…

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Q: nx (a): Show that the sequences is not uniformly convergent [0, 00]. on '1-n²x2

A: Given the sequence of function fnx=nx1-n2x2, x∈[0,∞) Now , for x=0, the sequence is 0,0,0,.... this…

Q: n - 3 - 3 converges conditionally because lim = 0. 3n + 1 3n +1 n=1 True False

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Q: 1 1 Зп — 1 3n + 2 n=1

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Q: 00 (-1)"+1 Is En=1 convergent absolutely, non-absolutely, or diverges. n+8

A: Given series is ∑n=1∞-1n+1n+8 Absolute convergent test: If ∑an converges, then ∑an converges. Let…

Q: conditionally convergent, absolutely convergent or divergent  En=2 (-1)n+1ln(n)/n

A: Absolutely convergent: ∑n=1∞-1n an is a absolutely convergent if and only if positive term series…

Q: 4 n2 - 1 n = 2 O convergent O divergent If it is convergent, find its sum. (If the quantity…

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Q: (-1)k-1) k4/3 Determine whether 6. converges absolutely, converges conditionally, k=1 or diverges.

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Q: (-2)" 9n + 1 n=1 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges

A: * As per our guidelines, we are supposed to answer only one question.   Since you have posted more…

Q: (-1)' n² + n n* + 2n+1 Absolutely Convergent a. b. Conditionally Convergent с. Divergent

A: Find the aboslute converges of the series using limit using series

Q: 2n Let an = 3n +5 Determine whether {an} is convergent. Determine whether an is convergent.

A: To determine whether the given sequence and series is convergent or not.

Q: (-1)" - 1 6" n = 1 3

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Q: 3 - If E is convergent, find its sum. z=1 en n(n+3)

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

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Q: 3n Let a, 8n + 1 (a) Determine whether (a) is convergent. O convergent O divergent (b) Determine…

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Q: 1. Σ 4n2 in 8n +3

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Q: 6 Let an 3n + 1 (a) Determine whether {a,} is convergent. convergent O divergent (b) Determine…

A: We can find the answer as below.

Q: 4n Determine whether {} 5n+1 is convergent or divergent.

A: A sequence {an} is convergent if limn→∞an=l, where l is a finite real number.A sequence {an} is…

Q: conditionally convergent, absolutely convergent or divergent. sum n=1 to ∞ (−1)^n/ ((3^n)(√n))

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Q: 6n Let an %3D 7n + 1 (a) Determine whether {a,} is convergent. O convergent O divergent is…

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Q: 6n Let an 4n + 1 (a) Determine whether {a,} is convergent. O convergent O divergent 00 (b) Determine…

A: use the basic property of sequence and series

Q: n - 1 converges absolutely because lim - 2 (n – 1) R=1 True O False Reset Selection

A: Consider the given series.

Q: 8. True or False: If lim an = 0, then an converges. %3D n=0 (a) True (b) False

A: Solved below

Q: 2n Let an %3D 3n + 1 (a) Determine whether (a,} is convergent. convergent divergent (b) Determine…

A: Given: an=2n3n+1

Q: olutely convergent, conditionally convergent, or ergent. |(-3)n² / (n + 1)! E (-3)" / (2n² + 4") 2…

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Q: n² +1 8. is The sequence 2-n2 n =1 n=1 Select one: a. Divergent b. Convergent

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Q: 22. 2 n-1 T

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Q: Let an 6n 2n + 1 (a) Determine whether {a} is convergent. O convergent divergent = (b) Determine…

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Q: Diin (n) Converges or diverges (n+4)3 21

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Q: 6n Let an 5n + 1 (a) Determine whether (a,} is convergent. convergent O divergent (b) Determine…

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Q: 4n Determine whether Σ: 5n+1 is convergent or divergent.

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Q: n Σ=o(-1)n+1 (는) absolutely converges, conditionally converges or diverges. 12. Determine if

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Q: 1 (V3)" n = 0 convergent divergent If it is convergent, find its sum. (If the quantity diverges,…

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Q: Let an 4n 7n + 1 (a) Determine whether {a} is convergent. convergent divergent = 8 (b) Determine…

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Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

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Q: (a1 + a2) + (az + a4) + (az + a6). . . + (a2n-1+ a2n) +...= E1(a2k-1 + a2k). 6. If =D1 ... is…

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Q: 3n Let an 7n + 1 (a) Determine whether {a,} is convergent. convergent divergent (b) Determine…

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Q: 8. If (an)n-1 is a monotone sequenee, then (a,)n=1s convergent. %3D1

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

Q: What test would you use to test the convergenc 2n+1 n=1 n³-4n²+6 2. ΣΤ-1 (-1)"+1 (n²+3)² 3. Σ-1 5sec…

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Q: 9n Let an Зп + 1 (a) Determine whether {a,} is convergent. convergent O divergent (b) Determine…

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Q: 2n Let an = 3n +1° (a) Determine whether {a„} is convergent. (b) Determine whether a, is convergent.

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Q: 은 hzl 3n+2 2n+3 h

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Q: 5n Let an 6n + 1 (a) Determine whether {a,} is convergent. convergent divergent 00 (b) Determine…

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Q: 5n Let an %3D 4n + 1 (a) Determine whether {a,} is convergent. convergent O divergent 00 (b)…

A: Given -  an = 5n4n + 1We have to determine-(1) Whether an is convergent or divergent.(2) Whether ∑n…

Q: 7) : Determine if absolutely convergent, conditionally Question # convergent, or divergent.…

A: We use definition of a absolutly convergent series

Q: 6. If > an converges but >lan] diverges then we can be sure that n=1 n=1 (a) an converges…

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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: Vn2 + 1 Prove that the sequence {an}n=1 converges by following the following sequence of steps. n…

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

A: ∑n=1∞-3nn Here, an=-3nn

Q: 7n Let an %3D 8n + 1 (a) Determine whether (a,) is convergent. convergent O divergent DO (b)…

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