10.. Alternating series with factorials: test for absolute and ordinary convergence: (- clear and complete for each step of the alternating series test. (-1)" (my)² (3n)! n=1 Make your work

Q: Test for convergence the series 3.6.9 ... 3n ( 1 ) Σ n = 1 x" (x > 0), 7.10.13 ... (3n + 4) I1 =…

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Q: (-1)"x" (n+1)! Consider the series n=0 (a) Find the series' radius and interval of convergence. (b)…

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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: 12. Test each series for convergence or divergence. State the test used. (a) i Inn 8n n=1 (b) (-1)"…

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Q: Identify all of the convergent series below. (-1)" (1) 4n – 2 =1 - * (-1)"n (2) 4n – 2 n=1 (-1)" 00…

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Q: Use any test for convergence/divergence to show that the series converges. V12(-1)" 3" (2n + 1) 00…

A: This is a problem of series.

Q: Suppose that E °n·x" converges when x =-. 4 and diverges when x = + 6. n=1 What can be said about…

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Q: 11. Series k=1 For each of the following sequences {a}, decide wether the series Σak is convergent…

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Q: A. Divergence Test B. Geometric Series C. p-Series D. Comparison Test E. Alternating Series Test F.…

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Q: k! 2. Consider the series We will use the Ratio Test to determine whether this series converges or…

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