Euler found the sum of the p-series with p = 4:
Use Euler's result to find the sum of the series
Euler found the sum of the p-series with p = 4: Use Euler's result to find...
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
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 5 LV n4 + 3 n = 1 S Estimate the error. (Use the Remainder Estimate for the Integral Test.) errors
Use the telescoping series method to find the sum 4 n+2 n + 3 The sum of the series is 2 (Type an exact answer, using radicals as needed.)
Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. 13 13 (n + 1)(n+2) What is the formula for the nth partial sum of the series? Sn=0 What is the sum of the series? Select the correct choice below and, if necessary, fill in the answer box to complete your answer. (Type an integer or a simplified fraction.) O A. The sum of the series is...
Find a formula for the nth partial sum of the series and use it to determine if the series converges or diverges. If the series converges, find its sum. 10 Σ 10 n+1 n n=1 Sn If the series converges, what is its sum? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series sum is (Type an integer or a fraction.) B. The series diverges.
4 24+1 ( 6 pts. Find the sum of the series > - Express your result as an exact fraction (no decimals). Please put your answer in the box. 3k-1. Expres
36) use the sum of 10 terms to estimate the true sum 38) find P so that the series is convergent L.M AM L.M AM
4. [5] Find a formula for the nth partial sum Sn of the series, as is done in Example 8 of chapter 11.2. Then, find the sum of the series or show that it diverges. Lk2 + 3k + 2 k=1
Find the sum of the series, S. Find the sum of the series, S. infinity sigma n = 0 (-1)^n 8^n x^2n/n! S = 8e^-x^2