A) Prove that the alternating series k (²7-¹²) ² 2√3 2k + 1 converges. B) Will the series converge on its own? C) It can
Posted: Mon Jul 11, 2022 12:02 pm
A) Prove that the alternating series k (²7-¹²) ² 2√3 2k + 1 converges. B) Will the series converge on its own? C) It can be shown that the residue term of a convergent alternating series holds Rnl < lan+1] that is, the absolute value of the residual term is less than or equal to the absolute value of the first omitted term. Estimate the value of the sum of the series by including the first 5 terms. Investigate the magnitude of the error. Which familiar number do you think is the exact value of the sum of the series?