Which of the following nfnite senes are convergent? Select all that apply. 100 100+50+25 +... %3D 2 3 1 2, 3 2 3 4 1.

Q: n+1 n+1

A: As per the instruction, we will be answering only the first one. For (1),     limn→∞…

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: Which of the following p-series is convergent: Σ n=1 3. 2. 2. n=1 n=1 Σ n=1 9.

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Q: 1 80. For which a does converge? na In n n=2

A: Consider the given series ∑n=2∞ 1na lnn There are three cases, Case-1, when a=1, then ∑n=2∞ 1n lnn…

Q: Which series conditionally converges? Select one: (-1)"+1 n2 a. n=1 1 b. n n=1 1 С. n² + n n=1…

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Q: b] If (s) converges then (s,) converges.

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Q: Use the Ratio Test to prove that  ∑ (2/3) (n-1) converges. n goes thru n=3 to ∞. Write step by…

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Q: If E lan| converges then Ean converges. Select one: O True O False

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Q: 00 1 n2 + 2n n=1

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Q: If Ea, converges and a, > 0 for all n, can anything be said about 2(1/a,)? Give reasons for your…

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Q: en Σ n =1 n" converges Select one: True False

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Q: 00 1 n=2 un -1

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Q: determine whetheer the fene Conditionally (Convergent,abtolutely onvergent or dirergent a . n= 5…

A: We have to find whether the sequence is convergent or divergent and to know whether it is absolutely…

Q: What are all of the values of x ,such that (-1)*+(n) * converges? (). x1.40

A: Using ratio test a series converges iff:…

Q: 2" +1 2n +n

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Q: n(Inn)4 n=2

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Q: Select the answer choices that make the following statements TRUE. (-1)" [ Select ] a. n=1 (-1)" b.…

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Q: . Which of the following sequences is convergent? (A) (n). O (B) ((-1)"). O(C) (n). (D) None of…

A: Option (C)

Q: 2. Which of the following sequences converge to zero? n2 (a) n2 + 1 (b) 2" (c)

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Q: H.W: Which of the sequences a, converge and which diverge: 2.-(12)

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

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Q: 1 79. For which a does converge? n(In n)" n=2

A: Let the given series be - y = ∑n=2∞ 1nlnnuWe can write it as - y = ∫2∞ 1nlnnadn…

Q: 00 For which a does > n(In n)a converge? n=2

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Q: b. Eel/n – el/n+1 n=1

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Q: Which of the following statements is true? O A. Η Σα, converges then Σ al converges. O B. В. Η Σα,…

A: To select: which statement about convergence is true.

Q: d) If Can's Converger and {b,'s diverges, Hhen fanton} Converges.

A: we argue by contradiction: suppose that an+bn converges. Since an converges by assumption, the…

Q: The seies Σο, + converges to 1 16 n=1 Select one: O True O False

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Q: If an and bn both converge, then an bn converges. n=1 n=1 n=1 True False

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Q: If 2 an converges for some large k, then so will ) n=k n=1 Select one: O True 17 O False

A: It can be solved using the simple observation.

Q: Q1: Which of the sequences converge, and which diverge? n2 an 1-бп 1. 2. an 1+ 2n = [1+ 3n 3. an 4.…

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Q: Which one of the following sequences converges?

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Q: 00 00 Show that > n3 + 8n converges by using the Direct Comparison Test with En3. n=1 n=1

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

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Q: Determine whether b, converges or diverges. n=1 п +1 a. bị = 1, bat1 = (-1)"; Зп + 2 °л b. b, = 3,…

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Q: S 7" Зи + 12 1 8.

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Q: 9 9 7 3, 8' 4' 2' 3 5 5 17 17 13 9 5. ' 2' 33 33 25 17 11 {an}=1 4, 16' 1, 2, 2' 4' 2 8 4 32' 16' 8…

A: → The Necessary Condition for Convergent Sequence-            The necessary condition for convergent…

Q: What does Ek=1 converge to? Ak+11 k+12.

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Q: Does the p-series ne converge or diverge? NT+2 n=] ne ? NA+2 n=1

A: Solution: The objective is to determine the given series is convergent or divergent

Q: The largest whole number k for which 2k (ke") 52n+3 (kn² + 5) n=1 converges is .....

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Q: Determine whether the sates is canergent or dNeroent, If it is convergent,find itS Scm 6+2+ 2. t. 4.…

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Q: B: To what value the following sequences can converge: Vn+3 %3D 1 4n+3 -Inn 2n2+1 1) an= 2) a,…

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Q: 8. sing the Ratio Test, check the convergence of the following eries: n(3n + 5) 8" (n + 2) In(2n +…

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Q: 3. Σ n=1 n(n +3) 11 converges to Select one: O True False

A: Given series,             ∑n=1∞3nn+3

Q: 00 n! en 7n=1

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 9. Which of the following sequences is convergent? (A) (n). O (B) ((-1)"). O (C) (inn) O(D) None of…

A: Third option is the true one. See the step 2

Q: Q1:Which of the sequences converge, and which diverge? 1- 6n an = 1+ 2n 1 3. an = (1+ (0.2) 1. 2. an…

A: 1.) an = (1 - 6n)/(1 + 2n) converges to (-6)/2 = -3. 2.) an = n2/en converges to 0.

Q: 9. Which of the following sequences is convergent? (A) (n). O (B) ((-1)"). O (C) (sinn). (D) None of…

A: convergent sequence is(c)  sinnn