Match each of the following with the correct statement. C stands for Convergent, D stands for Divergent. In(n) 1. ) 7n n=1 6 2. Σ n7 – 9 2 + 4" Σ 00 3. 5 + 4" 00 4. п(п + 6) 1 5. У 3+ Vn3

Q: Which of the followings are false? I. 0 (-1)" is absolutely convergent. Ln=1 n² +Inn 2n II. E (-1)…

A: we have to check each options

Q: (a) Find a formula for the general term an of the sequence 8 3 4 4' 9 - } assuming that the pattern…

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Q: Which of the followings are true? 1. E is absolutely convergent. 00 n=1 n! II. En-1 (-1)-1 is…

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Q: 1 1 3. Find the sum of the following convergent series: 2" (п+1Xn+2)

A: As you didn't mention the question numberto be solved so i solved First  question.For remaining…

Q: Discuss the Convergence a 2 e¹ M8 n=1 SH n

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Q: 7.2. Find the points of convergence of the following sequences of functions. Find the intervals…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 3 a, +2 A sequence of real numbers a, is defines inductively as a1 = 1 and an+1 n 2 1. an+3 Use this…

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Q: (-1)"-1 (In n)" 00 23. E n=2

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

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Q: 1 3. En=1 (2n+1)3

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Q: Let an > 0 and assume that an diverges. Write Sn = a1 +a2 + • ·.+ an. Prove the following…

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Q: 3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle…

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Q: Let an > 0 and assume that an diverges. Write Sn = a1 + a2 + • ·.+ an. Prove the following…

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Q: 1. determine if it diverges or converges n e2n n=1

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Q: Q.2) Determine of each point convergens or diverges: (-1)"(3n)!/ /n! (n + 1)! (n+ 2)!

A: determine whether the series converges of diverges (i) ∑n=0∞-1n3n!n!n+1!n+2! we will use ratio test…

Q: 4 interval of convergence. f(x) 2х+3

A: Given data:     The given function is: f(x)=4⁄(2x+3). STEP-1 The given function can be written as,…

Q: diverges. n=1

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Q: 00 Q5. Evaluate , e z dx if it converges.

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Q: 0o COS 17. Determine whether 2 converges or diverges. Evaluate it if is convergent. dx 18. Determine…

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Q: Which of the followings are true? (-1)" is absolutely conuo

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Q: I En=1 an converges then 2a, converges.

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Q: the ents 86. cheek the comvergenie g i) E sin (h ) - 3

A: (i) Given ∑sin1n Let un = sin1n Assume vn = 1n Consider limn→∞unvn = limn→∞sin1n1n= sin00= 00 Thus L…

Q: 2. If Exn and E yn are convergent. Show that E(xn + Yn) is convergent.

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Q: 26. The interval of convergence for (X-3)* k - (x– is а. (-3, 3] b. [-3, 3] с. (-2, 4) d. [2, 4] е.…

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Q: 1 Find the limit of the sequence n %3D 8, а. b. 1 с. 0 d. 1 e. The limit does not exist. -/2

A: limn→∞1n9/2The limit of the quotient is the quotient of limits:=limn→∞1limn→∞n92The limit of…