Consider series En=1ªn· If a, is the n-th digit in the decimal expression of 1/2, is the series convergent or divergent? Why? Compute the sum of the series if it's convergent. An is the n-th digit in the decimal expression of 1/3? Why? Compute the sum of the series What if if it's convergent. What about 1/5 and 1/7? Compute the sum of the series if it's convergent. ì Can you find a rule to determine for which positive integers m > 2 the series > the n-th digit in the decimal expression of т

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an…

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Q: 2 ,-n² and convergence of an where an what do you conclude about the series? ne

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A: Apply series ratio test and find whether the series is converges or not.

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Q: Discuss the convergence or divergence of (a) the harmonic series and (b) the p-series with p = 2.

A: (a) Discuss the convergence or divergence of the harmonic series,

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Q: 1. Determine if the following numeric series converges absolutely, converges conditionally, or…

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Q: Let 2 (-1)** 'ak be a convergent alternating series with terms that are nonincreasing in magnitude.…

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A: Telescoping series is the series in which all but the first and last terms cancel out .

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an…

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A: The series resembles 1/n^2. So, it is convergent.

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an…

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Q: En²e-n³

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Q: Check the convergence of the series tan-1 n=1

A: The given series is,  ∑n=1∞ tan-11n Integral Test:  If f(x) is a positive, continuous and decreasing…