1)thee sin(-)dz by using the residues is equal to Z a) 2/7 b) 0 c) i2n d) 2) the series (-1)-¹ is (2n-1)! nai a) Convergent b) divergent c) absolutely converge converge d) conditionally

Q: which of the following SSeries Converge 7n 2n2+1, tan

A: Series and sequences

Q: 05:A) Suppose La, converges. Show that {(1+=)* a, Converges. B) Let E a, and b, be absolutely…

A: (A) Given that converges. And to show that converges. And it is known that, converges. So, it is…

Q: Which of the following assertions is true for the given sequences? a) {(-1)" e"} converges п+1 b)…

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: 25. Choose the series that is convergent: ΑΣ A) 1+ n n+1 B ) Σ- 2 n n 4n n1 ο Σ7m 3 n n 2 D Σν+1 +4n…

A: In order to identify the convergence of series from given options, apply the divergence tests as…

Q: Q.18) A series (-1)4+1 2k+1 , is: a) diverge by alternating series test c) converge by comparison…

A: I have appended the formula used in the solution part of the question

Q: 4n+1 -a) Find the sum of this series Σn=071 3x 8-x²-y² b) Evaluate dzdydx

A:

Q: (-1)*1 n +1 5) For the series n=1 a) Show the series converges by the alternating series test. b)…

A:

Q: 58) Which of the following statements are true? a) The integral dx converges. b) The seriesE)"…

A: We are entitled to solve only one question at a time. As the specified one is not mentioned, So we…

Q: 42) The series ) 1 converges if and only if n2-a n=1 a) a > 1 b) a 1 d) -1 (-1)"-1 sin( n=1 a)…

A:

Q: 32. Find the limit of the series: x (1+x) (+x) 1+x2 A) B) xx X+x C) (1+x D) (1+x) E) x

A: Given series is,

Q: Q8) The series 7 + 10cosn n4 n =1 a) converges by comparison test b) converges to 0

A: NOTE-By bartleby rules, only first two question has been answered. As per given by the question,…

Q: 16) If E an converges, then cos(am) diverges. n=1 n=1 a) True b) False

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: Prove the following sequences diverge. (-5)"т + 3 2 sin ( 10"T + 4 en +n? +n +11 (Ъ) » (* ) 2n n -

A: We use basic of sequence.

Q: 1) Cauchy Product For n € N, let and (-1)n an == bn == √n+1 n Cn == =Σan-k · bk. k=0 Show that the…

A:

Q: - Let Σa, and Σb, are two infinite series such that 0 Sa, sb, thes a) ifa, converges then Σb,…

A: According to the guidelines I am going to solve the first question only, please post the remaining…

Q: Find the sum of the series by recognizing how it is related to something familiar. 16z 21 A) e In(1+…

A: Expansion of e^x = 1+x+x^2/2! +x^3/3! and so on

Q: 27 n + 191 The sequence tan 9 n + 169 n=1 O converges to 3 O converges to 6. O diverges converges to…

A:

Q: Questions 5 – 7: Find the sum of each infinite series, or state that the series diverges. e 5) 529)…

A:

Q: Q9) Compute J x-2)(x-3) d. 41 1. a) In- b)3In2 c) The integral diverges d) In2 5nl R10) The seies

A: Integration

Q: 3. The value(s) of b for which the series E=50 is convergent are: 4 n3b2 B)는 C)- D)- (수-w-) n (") (M…

A:

Q: Q2) The summation of ex series is x" a) En=0 n! b) Σ-01 5+n! xn+1 c) En=0 (п-1)! d)

A: Given:   Let fx=ex To find the Maclaurin series coefficients, we must evaluate          dndxnfxx=0…

Q: a) Is the series sin(n) Σ is – 7n + 1 n³ + 3n² n=1 absolutely convergent or divergent? justify your…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…