Question 7 DINA Which of the following statements are true? 1. If the condition of the Divergent Test is not satisfied, then the series converges. 2. For any p > 1, diverges. 3. If both bn diverges, then anbn diverges. 2 and 3 are true an and O 1 and 3 are true Only 3 is true All true O Only 2 is true Only 1 is true 1 and 2 are true All false np

Q: 7. Determine (with proof) if the following series is converging absolutely, converging conditionally…

A: Have to check whether the given Seriesis convergent ,absolutely convergent and divergent.

Q: 2. Suppose thatEm=1an E bn two series, lim,cedn = L and a, s b, for all n. Then E1an and Ln%3D1 2n=1…

A: Explanation of the answer is as follows

Q: Which of the following statements are true? 1. There is no function that is both odd and even. an+1…

A:

Q: Use power series to show that 1 1 1 e =- + 0! +...** 2! 3! 4! 5! 6! 117

A:

Q: Determine the sum of the series e +e2 +e3+ .. if it converges. O diverges. e A Moving to the next…

A: Given query is to find sequence converging or diverging m

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: If z is a variable, then the infinite series of the form is called n Σ" =a + a₁ + ª₂x² + ... + ª₂x”…

A:

Q: Select all that are arithmetic series. 4+8+12+16+..+200 50 E (2i+ 1) i= 2 23 Σ j = 1 109 E 3k k = 0

A: The given question is related with arithmetic series. We have to select all the arithmetic series…

Q: 10. If E an and E bn are convergent series, then E anbn is also convergent.

A:

Q: 6. 5. Σ m(n+2) In 1 6. Σ 7. E 5 7+1

A: In 5 and 6 using comparison test while in 7 using D'Aembert Ratio test.

Q: 4h 2. E+3 (-1)"3 3. E 4. E常 e" 6. 5. 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. Which of the ff. series is convergent? 2 2 A. 6 – 2 + C. 1+ 2 + 3 + 4 +5 + . | ... 9. 27 Β. Σ 1…

A: A series ∑n=0∞an is said to be convergent if the sequence of partial sum sn=a0+a1+a2+...+an is…

Q: Assuming that the pattern of the first few terms continues, determine if the following series…

A:

Q: Question # 6 Which of the following is/are power series? x" 1. Enx - 1) III. n! I. A) I only B) II…

A: a general power series can be written as ∑an(x-c)n ie. power series is a function of x or polynomial…

Q: n! 2.5.8...(3n+2) n=0

A:

Q: Use the alternating series test to determine whether the series n5 √n¹2 +4 ∞ Σ (-1)+2 n=1 converges…

A:

Q: 10 Determine which of the following statements are true. Statement A: The ratio test is inconclusive…

A: The following statements are given : (A) The ratio test is inconclusive for the series  ∑n=1∞lnnn3.…

Q: Determine if the geometric series converges 3 in 3 + + ..

A: we have to determine whether the given series is convergent or divergent also we have to find the…

Q: The ratio test can be used to check if the series n! Σ n =1,n converge or diverge Select one: True…

A:

Q: Determine if the geometric series converges or diverges. If a series converges, find its sum. 5 + +…

A: geometric seriesa+ar2+ar3+ar4+ar5+ar6...+arn-1... = ∑1∞arn-1if |r|<1the series converges to…

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…