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6. (2n) a. Use the AST to show this series converges. b. Approximate the sum by calculating s c. ...
6. For each given series, complete the following tasks: (i) Prove that the series converges ab- s...
6. For each given series, complete the following tasks: (i) Prove that the series converges ab- solutely; (i) Show that the series satisfies all conditions of the Alternating Series Test; (ii) Find the partial sum sy of the series, and then estimate its remainder Ra: (iv) Determine how many terms are needed to approximate the sum of the series accurate to within 0.001, and then find this approximation. (a) L (b) Σ 27! 6. For each given series, complete the...
2. (a) Show that the series sin "2n Sman 1 ) converges n = 1 (b)...
2. (a) Show that the series sin "2n Sman 1 ) converges n = 1 (b) Find an estimate of the magnitude of the error if the sum of the series is calculated by summing up the first 20 terms of the series. [4+3=7 pts]
Use the sum of the first 10 terms to approximate the sum S of the series....
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...
Consider the following alternating series. (-1)*+ 1 3k k=1 (a) Show that the series satisfies the...
Consider the following alternating series. (-1)*+ 1 3k k=1 (a) Show that the series satisfies the conditions of the Alternating Series Test. 1 3" Since lim o and an + 1 for all n, the series is convergent (b) How many terms must be added so the error in using the sum S, of the first n terms as an approximation to the sum n=10 X (c) Approximate the sum of the series so that the error is less than...
Use the sum of the first ten terms to approximate the sum of the series -Estimate the error by ta...
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...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use a graphing utility and 50 terms of the serles to approximate the sum when x -0.5. (Round your answer to six decimal (d) Determine what the approximation represents. The sum from part (c) is an approximation of In(0.3) Determine how good the approximation...
Use the sum of the first 10 terms to approximate the sum S of the series....
Use the sum of the first 10 terms to approximate the sum
S of the series. (Round your answers to five decimal
places.)
∞
sin2 6n
n2
n = 1
S ≈
Estimate the error. (Use the Remainder Estimate for the Integral
Test.)
error ≤
Use the sum of the first 10 terms to approximate the sum of the series. (Round...
Use the sum of the first 10 terms to approximate the sum of the series. (Round your answers to five decimal places.) Σ sin2(2n) n=1 S2 Estimate the error. (Use the remainder Estimate for the Integral Test.) errors Need Help? Talk to a Tutor Read it
Use the sum of the first 10 terms to approximate the sum s of the series....
Use the sum of the first 10 terms to approximate the sum s of the series. (Round your answers to five decimal places.) sin?(20n) n = 1 Sa Estimate the error. (Use the remainder Estimate for the Integral Test.) error s 0.10000 x Need Help? Read It Talk to a Tutor
Use the sum of the first 10 terms to approximate the sum S of the series....
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
6. For each given series, complete the following tasks: (i) Prove that the series converges ab- solutely; (i) Show that the series satisfies all conditions of the Alternating Series Test; (ii) Find the partial sum sy of the series, and then estimate its remainder Ra: (iv) Determine how many terms are needed to approximate the sum of the series accurate to within 0.001, and then find this approximation. (a) L (b) Σ 27! 6. For each given series, complete the...
2. (a) Show that the series sin "2n Sman 1 ) converges n = 1 (b) Find an estimate of the magnitude of the error if the sum of the series is calculated by summing up the first 20 terms of the series. [4+3=7 pts]
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...
Consider the following alternating series. (-1)*+ 1 3k k=1 (a) Show that the series satisfies the conditions of the Alternating Series Test. 1 3" Since lim o and an + 1 for all n, the series is convergent (b) How many terms must be added so the error in using the sum S, of the first n terms as an approximation to the sum n=10 X (c) Approximate the sum of the series so that the error is less than...
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...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use a graphing utility and 50 terms of the serles to approximate the sum when x -0.5. (Round your answer to six decimal (d) Determine what the approximation represents. The sum from part (c) is an approximation of In(0.3) Determine how good the approximation...
Use the sum of the first 10 terms to approximate the sum
S of the series. (Round your answers to five decimal
places.)
∞
sin2 6n
n2
n = 1
S ≈
Estimate the error. (Use the Remainder Estimate for the Integral
Test.)
error ≤
Use the sum of the first 10 terms to approximate the sum of the series. (Round your answers to five decimal places.) Σ sin2(2n) n=1 S2 Estimate the error. (Use the remainder Estimate for the Integral Test.) errors Need Help? Talk to a Tutor Read it
Use the sum of the first 10 terms to approximate the sum s of the series. (Round your answers to five decimal places.) sin?(20n) n = 1 Sa Estimate the error. (Use the remainder Estimate for the Integral Test.) error s 0.10000 x Need Help? Read It Talk to a Tutor
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
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