Test (-1)". for convergence or divergence. 2n2+1

Q: 1. Use the Nth-Term Test to examine the divergence of: n n+1 n=1

A: Follow the steps and just remember the form of the nth tems test.

Q: Find the interval of convergence of ∞∑n=0 (x−2)^n/n+ 3

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Q: find the interval of convergence A) -8 <z< 8 B) –1<z<1

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Q: n=1 7+4rn

A: The given series diverges.

Q: find the interval of convergence.

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Q: 2n+3 100 6) Use Limit Comparison to determine convergence or divergence: 2n=1 Зп2+1

A: solution

Q: Find the interval of convergence of Σ 6" (2n + 1)!

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Q: Test E(-1)" . for convergence or divergence. n2+4

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Q: Decide whether the following proposition is true or false. Provide a justification for your answer:…

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Q: Determine whether each of the fo for convergence/divergence. (a) n +1

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

Q: Σ (d) n (In(n))2

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Q: (2n+1)! (x-2) n=0

A: We have to find the radius and interval of convergence.

Q: Find the interval and the radins of r Convergence (-1)" (x-4)" (nt1)? れ=O

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Q: find the interval of convergence SELEC A) -1SzS1 B) -1Sz<1 6n +3 C) -10 <z< 10

A: Given: Limit ( n= 0 to n= infinity )  an = xn / 6n +3

Q: ® Investigate the conurgence of 3. Convergence 2.

A: The given expression is ∑n=1∞n!2en2. We have to find whether the given series is convergent or…

Q: ii. Investigate convergence or divergence of 2n + 100 3n +1). n=2

A: Given series is  ∑n=2∞-1n2n+1003n+1n

Q: check if the fixed point itteration converge or diverge for  (x^3/3)+4 in interval [4,5]

A: f(x) = (x^3/3)+4

Q: Find the intervel of tuis function (x-4)" of Convergence n

A: We have to find the interval of convergence of ∑n=1∞ (x-4)nn.

Q: 'Зп+5 100 8) Use the Root Test to determine convergence or divergence: Ln= n=1 4n+3,

A: solution:-

Q: Determine the radius of convergence and interval of convergence. Σ (-1)" (2n – 1)2" -(2x – 1)" n=1

A: Series and sequences. Evaluation of radius of converges and interval of converges

Q: Corver Is absdutely contergent, Conditionally Convergent, on divergent

A: Use Alternating series test, P- series test

Q: 8) FIND THE INTERVAL OF CONVERGENCE (-1)"x' n 2n FOR 글지 n=2 ||

A: Given: ∑n=2∞-1nxnn2n

Q: 1 2. - 2 ( x+ 1) 2 xp-

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Q: The interval of convergence of +∞ x2n Σ(-1)" is (2n)! n=0

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Q: +00 2n determine the interval of convergence of (-1)"+1 n3 + 2 n=1

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Q: Prove convergence or divergence.

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Q: Use the Ratio Test to prove convergence or divergence: 2n+2 (n+2! (n+2). n=1

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Q: 3. Show that the ratio test is inconclusive, but use either the integral or a comparison test to…

A: Given the series:

Q: Find the interval of convergence of the follow X + x² 2 x 3

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Q: The radius of convergence (2n + 3)! (x- 1)" is | None of these infinity

A: Given ∑n=0∞(2n+3)! (x-1)n Compare it with ∑n=0∞ an(x-x0)n Then an = (2n+3)!an+1 = (2(n+1)+3)! =…

Q: 9. Use the Comparison Test to test for convergence. dx 1 x

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Q: find the interval of convergence.

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Q: use the Root Test to determine convergence or divergence (or state that the test is inconclusive).

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Q: Test (-1)" for convergence or 2n+1 divergence.

A: The given series ∑(-1)n12n2+1

Q: Check the convergence of : xe-*dx

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Q: (-1)"+12na" n² + 3 V. Determine the interval of convergence of

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Q: Find the interval of convergence of (3x)^n/(2n)!

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Q: The interval of convergence of (-b)" x"*1 where b > 0; is n+1

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Q: Test (-1)". for convergence or divergence. 5n2+1

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Q: Use the Root Test to prove convergence or divergence: • (n!)* 2n n=0

A: We have to prove convergence or divergence of given series by root test.

Q: use the Root Test to determine convergence or divergence (or state that the test is inconclusive).

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Q: (-1)"3na" n -5 V. Determine the interval of convergence of

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Q: E 2 ( – 13" An(n)/2" | .......

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Q: Test E(-1)" for convergence or 3n+2 divergence.

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Q: Determine the interval of convergence of tl

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Q: Determine the interval of convergence of -1)"+12nx"| n2 + 3

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Q: Which of the following can the divergence test be used on to directly establish converges or…

A: we have to test whether the given series is convergent or divergent by using directly divergent test

Q: Q No 2: a) Discuss the convergence and divergence of (1+ a"), Va eR.

A: We have to divide it into several cases.

Q: (-1)*+12nx" Σ Determine the interval of convergence of n2 + 3 n=1

A: This is a question from the series.