Use any method to determine whether the series converge. 1 (a) E + 14k + 1 This series diverges. k=1 (b) > ' (7 + k}3/5 This series converges. >

Q: (a) Find a power series expansion for f(a) e. Then, use the first 4 nonzero terms in your power…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: 5. (x-6)" n! i=1 7. Ση! ( - 1)" i=1 Solve fo

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Q: 4 Find a power series centered at 2 for f (X x+2 2 Eo (-1)" (5)" E (–1)" ( *2)" n x-2 4 100 X-2 Zn=0…

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Q: How do I determine an upper bound for a remainder R(N) of a convergent series when estimating the…

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Q: (4) Σ n=2 3n η3 x 5m (4)

A: Given series is then So we have Then from D'Alembert series test ,we conclude that given series is…

Q: evaluate. Does the series ∞[4 2^k(x-3)^k/2k converge absolutely, converge conditionally or diverge?…

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Q: ivergent and which test is used?

A: Here we have to find convergent or divergent and which test is used. g) ∑n=1∞6nn! h)…

Q: find the sum of 1X ¹x (2-6) X (2-60²) + 2X (3 - w) x ( 2² w²) + -+ (-1x (m-w) x (m-1²);

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Q: Find the radius of convergence of the power series. (-1)"x" Σn=08"

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Q: _2. Which of the following series is divergent? 1 1 1 (α) Ση=12n-1 (b) En=1,3 (c) En=13 Σ n2 _3.…

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Q: Express the series in terms of elementary functions and find the where the series converges. ∞ Σ…

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Q: Determine whether the series is convergent or divergent. Also, find the sum of the series if it is…

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Q: n00 7. Use the alternating series test to determine if the following series converges. 00 (-1)k k=1

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