19. In Example 1 we used the comparison test to show that k3/2 – k –1 5k³ +3 parison test to prove the same result. the series E1 converges. Use the limit com-

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A: Explanation of the answer is as follows

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Q: 3. Show that the series In 2+ (-1)k-1 -(x – 2)* k2k k=1 from Example 3 diverges when x = 0 and…

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Q: 2" + 3" (a) Show that the series converges. 4" + 5" k2 k=1 n=1

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Q: 1. Determine whether the following functions are lossless function or not? (S³ +S) (S³ + 4s) (S* +95…

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A: Given series ∑n=1∞13n+23 is convergent.

Q: 9. The series 3k+1 (k+1)* is 2k-1 Convergent Divergent

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Q: 8. Consider the series 22 31-n (a) List the first five partial sums of this series. (b) Determine if…

A: To calculate the required partial sums and discuss the convergence of the series

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Q: Suppose that (sn)neN and (tn)neN are sequences and assume that (tn) converges. (a) Suppose that…

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Q: Suppose (xn) is Cauchy and (yn) is bounded and monotone. Can we say anything about whether the…

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Q: Determine whether it is uniformly convergent £r20 x2+k2

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Q: 8 Consider 2-³. This is deceptive, and it is tempting to cal- n=0 = culate B lim sup(2-¹)¹/n = and…

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