- i. Determine whether n=1 is convergent using ratio test. en ton-1 n

Q: If an converges and > 0 for all n , can anything be said about E–? An an

A: Given that, ∑ an  converges We known that, the series if  ∑n = 1∞ an  is convergent then limn→∞ an =…

Q: en Σ 11. nn n=1

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Q: What are all of the values of x ,such that converges? n=1 1>0,1 0 13 X<1 4

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Q: Use the ratio test to determine whether an converges, where an is given in the following problems.…

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Q: a) Does f() -Σne" n=0 converge or diverge for r > 0? b) How do you know?

A: According to ratio test, if the limit L&lt;1, then the series converges and if L&gt;1, then the…

Q: 1. Use an appropriate way to determine whether the following is convergent or divergent. k 'Ink i. Σ…

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Q: la) 을 In ? n=2 16) n=2

A: The solution of given problem is given as follows :

Q: Determine whether the following converges or diverges {(5) n 2n +1 n=1

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Q: What are all of the values of x such that (-1)"+1 Σ (3)" converges?

A: The ratio test states that: if L &lt; 1 then the series converges absolutely; if L &gt; 1 then the…

Q: 25) ผ n hal h he" +1

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Q: (b) Use the comparison test to determine if the following improper converges: 5/T +1 7+x + x²

A: According to the given information it is required to check for the convergence: ∫1∞5x+17+x+x2dx

Q: 1 n n=1

A: We have to check whether the given series  ∑n=1∞nn-12  converges or diverges, by comparison or limit…

Q: Answer the following True or False: > nP0.3" converges for all values of p. n=1 True O False

A: Consider the provided question, We have to check, the series ∑n=1∞np0.3n is converges or not for all…

Q: Are the following convergent or divergent? Show your work and state the reason 100 11) Ση n=0

A: The summation of n, n from 0 to 100.

Q: O Find the radins and interval of Convergence for En-02"ma

A: Given, Power series ∑n=0∞ xn2nn+4

Q: Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

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Q: (n + 1)? n3 + (1.1)" 350. n=1

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Q: O Find the interval of convergence for the following power seu * (x +3)"

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Q: Does E In n converge? n/2 n=1

A: We have to solve given problem:

Q: Answer the following True or False: If p is large enough, then 5" converges. TL=1 O True O False Add…

A: Given query is to find the series converges or diverges according to p.

Q: Are there any values of x for which E=1(1/nx) converges? Give reasons for your answer.

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Q: 5n – 1 8) Σ 7n n=1

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Q: What number will A to converge to?

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Q: 3) For which a does converge? Justify your answer. n(ln n)ª n=2

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: (A) True B) False The sequence {x}to, where xn = Sn² 20" is convergent. n! :

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Q: 1 3) For which a does converge? Justify your answer. n(In n)e n=2

A: This question is related to series.

Q: E (n!)² (K)! Fan what e is convergent ?

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Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: F) nー1

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Q: en Σ 10. n! n=1 8.

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Q: krge, Absolutely coverge or conditionally converge? ntl (1) n+3 °

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Q: +00 3 E(-1)"+1, n n=1

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Q: Find radius of convergence and interval for the following: 00 Σ 2n n=1

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Q: Answer the following True or False: Suppose that a,20 for all n and that, (a,)" converges. Then a,…

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Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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Q: ca, is convergent. is an convergent and c is a nonzero constant, then If n=1 n=1

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Q: n! Use the ratio test to determine whether E=1 converges or diverges.

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Q: is this convergence or divergence? {( n 2n +1) n=1

A: Given sequence n2n+1nn=1∞To check: whether it is convergence or divergence.Note: Root test:suppose…

Q: apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: Oiscuss the Convergen ce or Divergence n? tin3 n3 -1

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Q: For values of 9, 6 70 to llowing integod is which Convergent? 2* (1+ x)

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Q: Use the ratio test to determine whether a, converges, where a, is given in the n=1 following…

A: ∑n=1∞23n(n!)3(3n!) For ratio test, L=limn→∞an+1an

Q: an converges for some large k, then so will n=1 an- If E n=k

A: We have to check

Q: Use the ratio test to find the radius of convergence for En (z - 3)". n=0

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Q: If I want to show that >1 an is convergent, it would be appropriate to use the direct %=D1…

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Q: Use the ratio test to determine whether converges, where an is given in the following problems.…

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Q: (n!)³ (3n)! 321. n=1 8.

A: we have to solve using ratio test

Q: 2) To what number does E-L T Converges? (-3)" m=1 gn+T

A: Given expression is ∑n=1∞-3n5n+1. Let the given series be ∑n=1∞un . ⇒un =-3n5n+1…

Q: 30レて

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