8. Which of the series converge, and which diverge?: n+1 (2) Σ S 3 (c) 1 1 + ln²n (Inn)² n³ (d) n 1 (Ⓒ) (² - -/- )* n n! In n n(n + 2)! (f) (g) (h) (i) 8-8-8-8-88- Σ (n!)n (nn)² 1.3.5..... (2n-1) · [2.4......(2n)](3¹ + 1)

Q: If fn)(0) = (n + 1)! for n = 0, 1, 2, ..., find the Maclaurin series for f. I (n + 1)x" n! n = 0 E…

A: Given that     fn0=n+1!, n=0,1,2,....          Therefore the Maclaurin series is…

Q: 1. Determine whether each of the following series converges absolutely, con- verges conditionally or…

A: answer is in next step  . as per guideline i can answer only 3 subpart .

Q: Which series given below converge conditionally. (-1)" n=2 n²+1 (-1)" 2 Inn 1) E-2 00 II) E, (-1)"…

A: For details solution see the  answer below

Q: 3η2 +1 5. E - 00 =1 6η2-2n+ 3 6 Σ(-1)"+ 1 - + 00 2n n!

A:

Q: α. 3 n Σ 4 n=1 |

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. Determine which of the following series converge: (a) ( d) Σ 50 + 2n n= n=1 n O n (e) n=1 (2n2 –…

A: Please note that according to guidelines only first 3subparts is solved.

Q: Determine if cach of the following series converge or diverge. If it converges, find the sum of the…

A:

Q: (-1)" d) Find the sum of the series En=0 n! using the Alternating Series Theorem correct to three…

A: To find the sum of the series we must know about the series of ex , putting x=-1 in the series of ex…

Q: 6. 5. Let's consider the absolute series of terms of the absolute series: 7. Is LM8 n=1 (-1)-1 7+2n…

A:

Q: (-1)";6n+1 6n + 1 Write an equivalent series of the series 2 with the index of summation 0=מ…

A:

Q: 5. (a) Determine which of the following series converge and which diverge. n³ + 2n² + 3n+1 (n + 2)³…

A:

Q: 4. Does the series Σn=2 (-1)" √n converge? Why?

A:

Q: Determine if the series is converg

A: (a) Given, the infinite series             ∑n=1∞1+cosnen

Q: Which of the following infinite series converge? n(n +2) i) En=1 (n +3)³ * sin (ln n) ii) n=1 n…

A:

Q: - Determine whether the series is convergent or divergent. (-2)" nn 8 n=1

A:

Q: Identify all of the convergent series below. (-1)" (1) 4n – 2 =1 - * (-1)"n (2) 4n – 2 n=1 (-1)" 00…

A:

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +oo +oo…

A:

Q: For what values of x does the series converge absolutely 1 inVn 3" 2 4"x2n n(x + 3)" nx" Σ n=0 4"(n?…

A:

Q: а) nyn n=1 Σ >(-1)n+1 п c) 2" n=1 00 e) 2(-1)n+1, en n=1

A:

Q: Determine the number of terms required to approximate the sum of the series with an error of less…

A:

Q: Which of the following series converge absolutely, which converge conditionally, and which diverge?

A: Given  1. ∑n=2∞-1nnn3-52. ∑n=0∞-1nn2+1n2+n+83. ∑n=1∞-1n74-5nn

Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent.…

A:

Q: 4.- Suppose we have a number with infinite decimals of the form 0.d₁d₂d3d4... (where each d₂ = 0, 2,…

A:

Q: Express the sum of the power series in terms of geometric series. x + x2 − x3 − x4 + x5 + x6 − x7 −…

A:

Q: 1. Is the series convergent En>2 n(Inn)?

A:

Q: 3. Attach your work, in order from (a) to (1), on you series converge. Justify each conclusion with…

A:

Q: Determine whether the series is divergent or convergent, and if convergent, then absolutely or…

A: