Identify all of the convergent series below. 1 (1) n2 + 2n +1 1 (2) n=1 2n? - п n2 (3) Зп? — п — 2 n=1 - O (1) only O (2) and (3) O (3) only O (2) only (1) and (3)

Q: (-1)"x" (n+1)! Consider the series n=0 (a) Find the series' radius and interval of convergence. (b)…

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Q: 8. Find the value of p for which the series 2n Inn (In (In n))" is convergent. n=3

A: the given series,        ∑n=3∞1n ln n.lnln n p

Q: IM: Determine if the following series converge or diver 1. ΣΤ 2. E xn 2n+1 i=1 V3n+1 i=1 3. Σ (2л —…

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Q: (-1)" 81+n Σ (x – 7)" n + 4 n=0 8. 5.

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Q: 7. Determine whether the series Σn=1 n 5n 6n+2 is convergent or divergent.

A: Necessary condition for convergence  :                         Necessary condition for…

Q: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m)... E-3bn +9b E-3bn – 9b E-3bn…

A: Use the expression form the summation form

Q: Choose the correct option in each of the statements below. 00 For any a>0, the series > [ Select )…

A: According to the ratio test evaluate the value oflimn→∞an+1an   let sn=1n3+a Then   sn=1n+13+a…

Q: The series > diverges. 3n2 + n+1 n=1

A: We have to check

Q: 8 2. If the series 4 5 16 32 +... converges, find its sum. Otherwise, say it diverges. 25 125 (A)…

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Q: If we only add six terms of the series estimate how far off (at most) we (r – 2)(x + 3)' could be…

A: Given Series is ∑x=3∞1x-2(x+3).We have to estimate how far off we could be from the actual sum.

Q: (c) One of these series converges absolutely. Which one? Compute its sum.

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Q: Σ 10(-1.6) is an k=0 Σ 10(-1.6)* k=0 is an alternating geometric series, w –

A: given series is ∑k=0∞10(-1.6)k then we have to check it is converges or divergent since we have…