Which of the following statements are true about the series an? Statement A: If the ratio test is inconclusive, that means that the series Statement B: If lim 12-00 OB only O A only O Both A and B ONeither A nor B an+1 an is in the interval [-1, 1], then the series n=1 an diverges. an converges.

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

A:

Q: 9) For ealh of Sum or determine that it A) (-2)プ 5h hzo B) a (-2)"32h 2nt1 (Ttuと

A:

Q: Consider a series En-1 an where (an)n is a monotonically decreasing sequence of non- negative real…

A: It is given that the sequence  is monotonically decreasing sequence and  for all  and it is…

Q: 1. Prove that the p-series diverges for p < 1.

A: We have to show that  the p-series diverges for p&lt;1.

Q: If |r| < 1, the series a +ar+ar² +...+arn−1 t... converges to

A: Series convergence.

Q: Suppose that an (x – 2)" converges for x = 8. As a consequence, which of the following statements…

A:

Q: 2n-3 00 Ση=1 5n+4

A: If limn→∞(∑n=0∞an)=L, where L= Number other than zero, then ∑n=0∞an divergesIf limn→∞(∑n=0∞an)=0,…

Q: 1 3 1 1 + 72 33 12 + 3 + 1 74 + 1 1 35 + +... 76

A: The given series is .We have to determine whether the series converges or diverges.Consider the…

Q: Which of the following conditions are necessary to conclude that the series an converges using the…

A: Solution:- The condition that are necessary to conclude  that the series ∑n=1∞  an  converges…

Q: Agree or Disagree with each of the following statements? Statement 1: Let 2 an and 2 b, be 2…

A:

Q: Find the limit of the series (if exist) 1 -1 3/4 1/4 4/3 1/3 None WI

A:

Q: 6. 1 Prove that the series Σ converges to a number between 2n + 1 n=1 2/3 and 4/5. Hint: The…

A: