Chapter 10.4, Problem 20E

Determine if the series converges or diverges

7. Consider the power series (-1)*+1g" n2 n=1 (a) The series converges when |x| R. Find R. (b) Does the series converge when x = R? What about when x = -R? Explain.

Let's determine are they convergent or divergent for each series. 7L Iraksak Σ 2n2 1 an, bherea a 5n2 +n an, n 1, 2,... Seç. (-1)" Yakınsak + n-2 n(ln n)3

Find the radius of convergence of the power series. (-1)"x" En=0| SM

Preso FIN- 45 32. Determine whether the following series converges absolutely, converges conditionally, or diverges. 8 71=1 (-1)" (n³+2n²-1) n7/2+3+1

Q// Consider the two series such that: f(x) = 1 + 2x + 3x2 +4x3 + ... and g(x) = 1 + 2x + 3x2 +4x3 + a. Find the sum of the two generating functions. Then find the generating function for the result. b. Find the product of the two generating functions. Attach File Browse My Computer

A FINAL EXAM TO BE COMPLETED INDEPENDENTLY. 13. Consider the four p-series listed below. Briefly explain whether each series converges or diverges. (a) 2n-1 no3 (b) 1n-4 1 (c) En 1 (d) E -1

Determine if the series is convergent or divergent using any tests (comparison/root/ratio). E(-1)n-1n+1 n5 E(-1)"-

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