Q77 You are given the following: 2 .. 1 a) 2 + 1 + 3+ z + 5 + 3 + b) + 4* Z 1 + 7* Z n=2 which of the given a boue converge? Series

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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Q: A sequence is said to be decreasing sequence if...... Vn>1 =S b O n+ 1 n n+1C O S 2n.d O n+1

A: Correct option :-  C Detailed Explanation

Q: Determine whether n+1 converges or diverges. Give reasons for your answer.

A: Given: Here, an=n+1n2n. Notice that an=n+1n2n≈1n32. Now,                  limn→∞n+1n2n1n32=limn→∞…

Q: The sum of the series E-1 1-2n is: A) 1. B) 2. C) : D) 3

A: Here we have to find the sum of series ∑n=1∞121-2n

Q: 24313 1024 31a516

A: We will observe the pattern to find the value of p.

Q: II. Determine whether the given series is convergent or divergent. Justify your answers. 22n 1. 3.…

A: (NOTE- According to our policy, only required to do the first three subparts) Ratio test- Let ∑anbe…

Q: Evaluate the series, if it converges. 12.29-343 11) 19-

A: Sum of Infinite GP is given as Where a is the first term of gp r is the common ratio of gp

Q: Which of the following nfnite senes are convergent? Select all that apply. 100 100+50+25 +... %3D 2…

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Q: a) Test the series 2 2-1)" for convergence n =1 or divergence (show all your works) b) Test the…

A: Cauchy nth root test:-

Q: Q4) which of the sequence below converge, and which diverge? 1- 5n • Un n4+ 8n3 • U, - In (" *!)".…

A: Note: Our guidelines we are supposed to answer only first three subpart . Kindly repost other…

Q: If a, converges and a, > 0 for every n, show that 4converges. What can you say about a for any…

A: Given: ∑n=1∞an converges and an>0 To prove: ∑n=1∞an2 converges. Proof: ∑n=1∞an2=∑n=1∞an2 Since…

Q: The. negation of (an) convergent is: a. Va, 3V, VN,3n > N: an € V b. 3a, VV,3N, Vn 2 N: an € V c.…

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Q: «Σ Determine which of the following series converge: n? +n-2 (2n²-3)² an

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Q: 6. The sequence (xn) = (3,3,3,3, ...) is .. a) not Cauchy b) unbounded c) divergent d) convergent

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Q: B. E F H Consider the series SELECT ALLA 10 A) = a(11) + a(12) - a(1) – a(2) в) — 12 Ea(n + 2) –…

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Q: 3.3 2 3 Given: 5 (¹) + 10 (¹)² + 20 (1-4) 0 (¹-4)³ + + ... 3.3.1 For which values of k will the…

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Q: 1 1+ 2/2' 3/38 1 1 + 1 + ... 5/5 +

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Q: Q2) Determine whether the series Gnverges or diverges K-2 a) k k=2 3k b) { -k 2 c)

A: (a) given series is ∑k=2∞kk−23k Ratio test:- Let ∑an be the positive term series of real number such…

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: Which one of the following sequences does diverge to infinity? Oa. an Inn O b. an In 2n OC. 2n O d.…

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Q: 3. (ey + 1)²e-dx + (ex + 1)³e¯*dy = 0

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Q: Decide whether the given series are convergent or divergent. Show all your steps. (-4)3n a) 2n+1 n=1

A: Since you have asked multiple questions in single request.so we will be  answering only first…

Q: Which one of the following sequences does diverge to infinity? O a. 4n= (-1)"(1-) Inn O b. an In 2n…

A: We have to check