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

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Q: The series Σ 6( − 1)*0.2-1.9/k○ diverges converges. k=0

A: We use ratio test to find the desired result.

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A:

Q: (a) Show that $\Sigma_{n=0}^{\infty} x^{n} / n !$ converges for all $x$(b) Deduce that $\lim _{n…

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Q: H.w.Which af the fallowing series converge or diverg 80 Ln n 2. (h+i)! hai 4- n+4

A:

Q: 100 (x– 6)" X- n = 0

A: Given

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Q: ‏I want solve question ‏

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

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Q: QUICK CHECK 5 Explain why E 0.24 k=0 converges and why E 2* diverges. k=0

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Q: +00 1 Σ n=3 n · . Inn - +00 Σ m=1 3η5 + cos2 n – 1 4m? – 15 + π

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A:

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…

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Q: For which values of p does £=1 converge? (1+eon)4p

A: Given: To explain the given statement as follows, .

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A: Solution: (I) ∑n=1∞sin1n2 We know that sinx≤x Therefore, sin1n2≤1n2 Since ∑n=1∞1n2 converges, thus…

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Q: Q1: Use series to approximate the value of integral: ーX-1 0.2 e 1-

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Q: 3n 4. Use the ratio test to determine whether Σ converges. (n + 1)! n=1

A: use the ratio test for convergence of series.

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Q: (8) Find all k so that aek= dx converges. In this case, find the value.

A: Given problem:-

Q: For what value/values of x does the series E (- 1)" x" converges? n = 0 Select one: а. |x| >1 O b.…

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Q: Evaluate 6xln xdx. Then select the correct choice. Select the correct answer below: The integral…

A: Answer and explanation is given below..

Q: 4 Represent the function as a power series f(x) = (1 — 2г) n=0

A: We know that  (1-x)^n = 1+x + x² + x³ +........ Using this we can solve given problem

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Q: 10.Does 00 sin? (n) 2n n=1 converge or diverge? Use any method and give reasons for your answers.

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Q: The series n=4 is convergent. The term a29 of the sequence {a,) given by 2 3 4 5 5'7'9' 11 is 31 63…

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Q: 5) Does vergent? (-1)"n Ln=1 \n³+2 converge absolutely, converge conditionally, or di-

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Q: Q1)Test for convergent and divergent : (show your work) e-2 1. En=1 n+cos²n 9n 2. Σο-1 Ln=1…

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Q: If dr converges, then which of the following must be true? Select one: a. Ln-1 n diverges. b. p<0…

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Q: +00 Inn E(-1)": n2 n=2

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Q: N + 1 2N 2) Show that converges/diverges. N-1

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Q: Which of the followings are false? 1. 1. E sin converges by comparing with II. E Ln=1 n2 れ=1 n! n=1…

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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…

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Q: the series : 2 3 3 5 Select one: a. converges absolutely O b. converges conditionally c. diverges d.…

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Q: 8. of is g integerl the following For which values Convergent? dx

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A: I will solve first question only as per answering guidelines. If you want other to be solved, post…