1 k=1 k/2 + 1 k3/2

Q: e" etermine || „1+e²* „drconverges or diverges. If it converges, evaluate its value. Then, 2x AN U…

A: We are asked to determine the series is convergent or divergent

Q: 18 (n+1)! e"n 7) n-2

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Q: In² k 34. k4 k=2

A: The solution are next step

Q: Determine whether the alternating series converges. Σ(-1)+1 k+1 10k + 1 k=1 O The series diverges. O…

A: To Determine: whether the series ∑k=1∞(-1)k+1k+110k+1 converges or diverges.

Q: A B Convergent Divergent Use the ratio test to determine whether the series converges. 5+k

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Q: n3 Use the limit comparison test with the p-series to determine whether S 2n5 – 4n – 1 converges or…

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Q: Determine whether the series converges. 1 k=l Vk + 6 The series diverges. O The series converges.

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Q: 3n2 +n Use the limit comparison test to determine whether the series Vn3 + 7 n=1 converges or…

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Q: Q23: Test the series converge or diverge by using use limit Comparison test? 5n3 - 3n n2(n – 2)(n² +…

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Q: 100 m=1 (2n)!

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: k k3 + 1 k=1 8

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Q: (3k³ + 4)(7k² + 1) (2k³ + 1)(4k³ – 1) 21. E k=1

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Q: Test the series for convergence or divergence. E(-1)^ - 1e9/n n = 1 O converges O diverges

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Q: Test the series for convergence or divergence. 5 k(Ink)' k-5

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Q: Using Limit Comparison Test (LCT), the following series *5+2nי n4 + 3 n=1 O is divergent the test is…

A: We have to test by lct

Q: Determine whether the alternating series converges. 4ln k E(- 1)* k k=3 O The series diverges. O The…

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Q: n² +2 4. Use a comparison test to determine if the series converges or diverges. n=1

A: Follow the steps.

Q: a) Using Limit Comparison Test, determine whether the series converges or diverges : 00 Σ in n2 n=1…

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Q: Vk² + 1 k=1 Vk + 2 /k³ +

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Q: Jse partial fractions to find a power series representation, centered at 0 of 10 f(x) = x2 – 3x 10'…

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Q: Test the series for convergence or divergence. E(-1)" Vn3 + 7 n = 1 converges O diverges

A: It is a series problem

Q: Test the series for convergence or divergence. E(-1)". Σ (-1)^ Vn 2n + 5 n = 1 O converges O…

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Q: Determine whether the series converges. Σ k-I V3k – 1 O The series converges. O The series diverges.

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Q: Test the series for convergence or divergence. /n E(-1)". 3n + 5 n = 1 converges diverges

A: First I have written Alternating series test, just use this test for given series and find that…

Q: Vk k? + 3 k=1

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Q: Determine whether the alternating series converges. 00 k + 1 9k + 1 k=1 O The series diverges. O The…

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Q: k! (2k + 1)! k=1

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Q: +∞ (2) Ση+2=" ηγη n=1

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Q: Test the series for convergence or divergence. 00 E(-1)n-1b, %3D ... n = 1 converges diverges

A: Apply alternating series test

Q: Using Ratio test, the following series (n +2)5" 7n-1 i(uz) the test is inconclusive O is convergent.…

A: Ratio test limn→∞an+1an = L If L<1 , then series is convergent If L>1, then series is…

Q: Test the series for convergence or divergence. n2 E(-1)" + 1, 3 + 11 n = 1 O converges diverges

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Q: (k!)³ 42. E (3k)! k=1

A: We have to use ratio test

Q: diverges. Q) Determine whether the series converges or 2k! 1) 2 2K)! (2k)!

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Q: Determine whether the alternating series converges. 2(- 1)k+1_k+ 1 3k + 1 k=1 O The series diverges.…

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Q: Ratio Test is the most suitable test to determine whether the following series converges or diverges…

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Q: 12. E-3 2n-5 Using the Direct Comparison Test show if the series is divergent of convergent

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Q: 6. [Test] Find the radius of convergence for a given power series. (a) (2ª + 1)n² (b) (2n – 1)! 3D1…

A: (a)

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

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Q: 4(-1)"e-n n = 1 converges diverges

A: consider the series ∑n=1∞4-1ne-n rewrite the series ∑n=1∞4-1ne-n=4∑n=1∞-1ne-n by alternating series…

Q: 1 The series > 1 converges. Determine what value the series converges to. k k+2 k=1

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Q: a) Use the divergence test to determine whether converges or not. (-1)**'n n(3n² +1) b) Use…

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Q: 2k+1 33. E(-1)* gk-1 k=1

A: We will do ratio test.

Q: Using the limit comparison test the appropriate b, that is used In(n) to make the series E-1…

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Q: Test the series for convergence or divergence. Vn E(-1)". 00 2n + 5 n = 1 converges O diverges

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Q: Using Limit Comparison Test (LCT), the following series +0o 5 + n3 2n6 + 3 n=1 is convergent. O the…

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Q: Test the series for convergence or divergence. n2 E(-1)". n² + n + 1 n = 1 converges O diverges

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Q: x" interval of convergence of the power series n/ñ 3"° n=1

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Q: etermine whether the alternating series 2 (- 1)": 7 Inn converges or diverges n=2

A: When n is increasing, the behaviour of the function is decreasing that tells the function is…

Q: sin(1/k) Σ 00 k2 k=1

A: