Determine whether the following series is convergent or divergent. Explain by giving the name of the series test. Note: Your answers must be very short and clear. For example "It is convergent or divergent by the p-series test with p= k." en (a) (c) >(-1)" arctan n n2 n=1 (2n)! (n!)² 1 ()) Σ (d) V3n4 + 1 n=1 n=1

Q: (1 point) What can you say about the series an in each of the following cases using the Ratio Test?…

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Q: 3 (8) ) (2n)! n=1

A: The given infinite series is: Let Ratio test for convergence of infinite series states that if…

Q: Using Direct Comparison Test (DCT), the following series +oo 5+(sin(3n)) n-1 O the test is…

A: Using direct comparison test we have

Q: Part IV: Determine whether the following series are convergent or divergent. Use the nth term test…

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Q: A useful power series. Let¹ ∞ (b) What is the value of f(7) (0)? (c) What is the value of f(1000)…

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Q: 00 k6 k! k=1

A: We have to apply the ratio test to the following series -  ∑k=1∞k6k!

Q: Is the series Σ (3j)"n! n" n=1 convergent or divergent? Give a reason for your answer and show the…

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Q: 00 ar For Ir| < 1, Σn(ar" = ar + 2(ar)? + 3(ar) + ... = Use this to find the power series for f(x) =…

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Q: 5). Determine whether the series converges or diverges. ∞ n + ln(n) n2 + 17n − 12 n = 1 Which…

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