Is the series convergent or div ergent ?Iname the tests used] a)E 1-2COS(n3) n3.nt1

Q: The integral test applies to the series Select one: O True O False

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Q: D. Which of the following is/are correct? I. For a = 2 the series is convergent. II. For a = 2 the…

A: Series problem....

Q: nvestigate the convergence of the following series. H.V 2n+5n 2) Σ-1 3n %3D1 1LJ!

A: We have to find out convergence

Q: None e. 1,2 f. 1,3 g. 2, 3 h. 1, 2, 3 a. b. 1 с. d. 3 16. Which of the following series are…

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

A: Series convergence.

Q: É (-1)" /n+ Jn - \n Q2.Use n-th term test to test the series: =1

A:

Q: Σ n=0 2η (1 + n2)2 does the series converge or diverge?

A: The given seires is

Q: The value of p for the series En=1n! e¯n by using ratio test is 2 O 8.

A: Ratio Test: Let ∑n=1∞un be a given series such that limn→∞un+1un=ρ Then the series converges iff…

Q: The Divergence Test for infinite series (also called the "n-th term test for divergence of a…

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Q: Is the series given below is convergent or divergent?

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

A: Given series is       ∑3n!nn       Let  an=3n!nn  ⇒ an+1=3n+1!n+1n+1            an+1an = 3n+1!n+1n+1…

Q: For what values of p is the series x-1 x √√x+7x+5 convergent?

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Q: Use the first estimate the six ferms S7 the binomial series to following:

A: Given :f(x)=1.95We have take f(x)=1+0.91/5

Q: For what values of x do the power series x" converge. n=1

A: The given power series is ∑n=1∞1+1nnxn. Consider an=1+1nnxn By using root test,…

Q: Q 9) Does the series: ∞ ∑    1/4n-1 n=1   converge or​ diverge? Give a reason for your answer.…

A: Use series integral test.

Q: Consider the series 0 n=1 2+n3 For what values of p does it converge? I. p> 1/2 II. p< 2 O l only O…

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Q: For what values of p is the series M8 x=1 √x+7x+5 convergent?

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Q: The n partsal sum S, of the series (A) S (B) S. (D) S (E) None +3

A: We use partial fraction method

Q: 7. Uhe Hhe appopriate test to determine Conver gence divergence" of the series. DY nfn+2 n= 00

A: Given series is  ∑n=1∞1nn+2 where an=1nn+2

Q: dx In (l+x)+C

A: Given integral is  ∫dx1+x

Q: b) series converges or diverges. 8 n=1 1 (2n)! n=1 use the ratio test to decide whether the nen

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