Το test the series Σε n=1 so we could also investigate convergence using other methods.) of [.. -5n for convergence, you can use the Integral Test. (This is also a geometric series, Find the value of -5x e dx = What does this value tell you about the convergence of the series n=1 e the series definitely converges the series definitely diverges O the series might converge or diverge: we need more information -5n?

Q: Find all the values of x such that the given series would converge. 00 (-1)"x" Σ 7" (n² + 6) n=1 The…

A:

Q: Express the series in terms of elementary functions and find the where the series converges. 00 E (1…

A: Geometric progression

Q: Find the interval of convergence of the power series [—1,1] [1, 3) (-1,3] [1, 3] n=1 (x-2)" n3

A: The given series is; Summation of (x-2) n/n3, n from 1 to infinity. Find the interval of…