Find the sum of the series, S. Find the sum of the series, S. infinity sigma...
Determine if the series convergence or divergence and state the test used: # 1.) sigma on top infinity when n=1 [(5/2n-1)] # 2.) sigma on top infinity when n=1 [(2 * 4 * 6 …2n/n!)]
1 1 1 [3 marks] 32.. 1 (a) Find the sum to infinity of the series 2-3+ [3 marks] (b) Show that x+ 2x + 3x + ... + x = nx(n+1) (c) Show that Esin'(x) = sing if \sin xkl. [3 marks]
Euler found the sum of the p-series with p = 4: (4) = infinity n = 1 1/n^4 = pi^4/90 Use Euler's result to find the sum of the series. Infinity n = 1 (3/n)^4 81/90 pi^4 infinity k = 6 1/(k - 3)^4
Euler found the sum of the p-series with p = 4 zeta(4) = summation_n = 1^infinity 1/n^4 = pi^4/90 Use Euler's result to find the sum of the series. summation_n = 1^infinity (5/n)^4 summation_k = 6^infinity 1/(k - 3)^4
Find the sum of the series. n! n0 3n+1x2n + -/0.7 points SCalcET8 11.10.077. Find the sum of the series. 32n+ (2n 1)! n0
Find the sum of the series. n! n0 3n+1x2n + -/0.7 points SCalcET8 11.10.077. Find the sum of the series. 32n+ (2n 1)! n0
please answer a through f
5. For the following series, find the sum of the series or determine that it diverges. 2n 7 n=0 n=0 (-2)n+1 n² n 3n2 + n-1 9 (f) L 3n n=0
Find the radius of convergence R for the series infinity Sigma n=1 n/b^n (x-1)^n , b>0Find the interval of convergence of the series
Please answer question 34 only
33. Find the sum of the series -correct to four decimal places. n" & 2n is comvergent. 34. (a) Show that the series (b) Deduce that lim0 (2n)! 35. Prove that if the series Σ-a, is absolutely convergent, then the series s (n + 1
33. Find the sum of the series -correct to four decimal places. n" & 2n is comvergent. 34. (a) Show that the series (b) Deduce that lim0 (2n)! 35. Prove...
Determine the interval of convergence for the following series. a/ sum (x-3)k / sqrt k from k=1 to infinity b/ sum (-x)k / k! from k=0 to infinity c/ sum (2x - 21)k / k4 from k=1 to infinity
(a) Find the partial sum S, and the sum S. of the series, (b) Graph the first 10 terms of the sequence of partial sums and a horizontal line representing the estimated S.. 6 (2) In=1(sin 1)" (1) 2 = (n+1)(n+2)