Use the Ratio test to determine whether the series converges or diverge ∞ ∑       (-1)n(2n+1)/n! n=1

Q: (2n + 3) sin -n=2 In n

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Q: Please help part b

A: b) Given function is let f(x) = 1/(1+x4)

Q: 7. Consider the following power series, centered at x = -2. Σ(-1)(x+2) 4+1√√n Find the radius of…

A: The given power series is: ∑n=1∞ (-1)n(x+2)n4n+1n

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this…

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Q: IV. Determine if the given is convergent or divergent. dx (x² + 1)² 1.

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Q: (-2)"-1 Σ 4" n=1

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Q: Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is…

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Q: Does the series converges or diverges? What test do I use to see what value it converges to? What…

A: The given series is converges by comparison test and p-series testExplanation:

Q: Test the series for convergence or divergence. (If the quantity diverges, enter DIVERGES.) 5n – 1…

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Q: the bot test to determine it the use tollowing series converges or diverges

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 5(- 1)*+12 k!…

A: Find your answer below

Q: (d) 22n+1 п! n=1 (e) (-1)" arctan (n) Σ n2 n=1

A: We have to determine whether the series is absolutely convergent, conditionally convergent,or…

Q: 2" – r m=1 4" + 1– cos(n)

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Q: 1+n + Vn n+ Vn4 + n² +1 n=0

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Q: Consider the series Σ(-1)nn n! n=0

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Q: Use the Cauchy Criterion for Series directly to prove that the following series converges. Hint: By…

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Q: 00 Στ k=1

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