4) Determine the minimum number of terms needed to estimate the sum of the given infinite series with a guaranteed...
Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001 1 (-1)n +1 3 n=1 26n n + or more terms should be used to estimate the sum of the entire series with an error of less than 0.001
the following series. a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six de 10 (b) Improve this estimate using the following inequalities with n 10. (Round your answers to six decimal (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in th n>22 O n 13 On>0 O n> -22 d Help? the following series. a)...
Determine the minimal number of terms required to lapproximate the sum of the series with an error error of of less than 0,002 o C-" An
is the answer 5 or more terms? Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001. (-1)"337. n=1 n+5 or more terms should be used to estimate the sum of the entire series with an error of less than 0.001.
x) -1-2! +41-614 (2k)! k=0 he actual Write a script that will determine how many terms are needed in the series to get the error between t value and the estimate to be less than 0.0001. The user should input the value of x and a formatted print statement should be used to display the result. Use a while loop to complete this problem. Note: error I(cos 2x)actual - (cos 2x)estimatel. See below for an example. Enter a value of...
use the sum of the first ten terms to approximate the sum of the series -Estimate the error by takingthe average of the upper (Hint: Use trigonometric substitution, Round your answers to three decimal places Theorem 16. Remainder Estimate for the Integral Test Let f(x) be a positive-valued continuous decreasing function on the interval [I,0o) such that f(n): an for every natural number n. lf the series Σ an converges, then f(x)dx s R f(x)dx use the sum of the...
CODE IN JAVA to be typed in Eclipse The sum of the infinite series: f(r) = 1 + r + r4 r3+ is equal to 1/r), if Irl <1 Calculate the sum of the infinite series up to N terms and verify that the result is more accurate as we take more terms in the infinite series. For example, if r = 0.5, then the sum of the infinite series is 2. Check the value of f(r) when you take...
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the Integral Test.) error s Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the...
Due in 5 hours, 12 minutes, Due Mon 04/15/2019 11:5 Subtract the infinite series of In(1 -) from In(1 + z) to get a power series for Preview Evaluate this power series at z = to get 3 In(2)= Σ Preview What is the smallest N such that the Nth partial sum of this series approximates ln(2) with an error less than 0.001? Number of terms needed is: Points possible: 10 This Is attempt 1 of 3 Submit ービービーーーー1/1/1/10020000003- Due...
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.001.