En=1 (Inin+1) 2) By using (Root Test) is the series ( converge or diverge)

Q: Does the series from 1 to infinity of (2^k*k!)/((k+2)!) converge or diverge?

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Q: Find the radius and the interval of convergence of the power series (3x + 1)7+1 and evaluate its…

A: Here we have to use Ratio Test.

Q: Σ(-1) -1. n=1 1 4η + 1

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Q: 0/using the test comparing the series Eñn nt 2n-3 *? A- closc ande far apart B- closc or convergent…

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Q: Use a power series to test the series £ Un=nlogx for convergence,  where £ means summation

A: We are given the series,                           . Now, we need to check the convergence of the…

Q: Why does 1/n^p when p1? P-Series proof!

A: To prove p-series ∑n=1∞1np is convergent p>1 and divergent if p≥1.

Q: Test the series for convergence or divergence. (-1)^ – 1 In(4n + 1) n- 1 O converges O diverges

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Q: Use the Direct Comparison Test to determine if the series converges or diverges. 4 + cos(n) 5" O…

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Q: Does the series converge or diverge? Justify! 2021 Zn=1 n In(n)

A: We have to check whether series Converges or Divergences.

Q: • Σ(-1) -1. n=1 1 4η + 1

A: We have applied lebnitz test to find convergence of series

Q: What is the interval of convergence of the power series nx". -? en n=1

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Q: Determine whether the series > is convergent or not. Indicate the test(s) you use. п" + 3 (In n)"…

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Q: If the power series an" converges for x = 2, it also converges for x = -2. n=1 Select one: True…

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Q: 1+X イーメ" 81

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Q: * 3" +n 2) Use the Comparison Test to determine whether the series or divergent. Show All Your Work.…

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Q: Use Ratio test to determine if the given series is convergent or divergent: n-1 nº el

A: Given series is convergent by ration test.