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Approximate Σ ne-n with the error no more than 1 0-8 First you must show that this series converg...
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...
1. 2. (1 point) Consider the following convergent series: Suppose that you want to approximate the...
1.
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(1 point) Consider the following convergent series: Suppose that you want to approximate the value of this series by computing a partial sum, then bounding the error using the integral remainder estimate. In order to bound the value of the series between two numbers which are no more than 10 apart, what is the fewest number of terms of the series you would need? Fewest number of terms is 585 (1 point) Consider the following series: le(n Use...
A) 0.2028 B) 0.4055 C) 0.47 D) 0.235 For the series given, determine how large n must be so that ...
please
A) 0.2028 B) 0.4055 C) 0.47 D) 0.235 For the series given, determine how large n must be so that using the nth partial sum to approximate the series gives an error of no more than the stated error. 20) 20) A) 600 B) 1500 C) 300 D) 3000 Use the Comparison Test to determine if the series converges or diverges. an=_cosn -4 t cos n n-1 n A) diverges S>소 Converge 6)or verges 21) due-toe-sones, 21) n s...
To test the series e 2n for convergence, you can use the Integral Test. (This is...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Question 5 Use the ratio test to determine if the series converges or diverges. ne-7n n=1...
Question 5 Use the ratio test to determine if the series converges or diverges. ne-7n n=1 Diverges O Converges Question 6 Use the root test to determine if the series converges or diverges. DO Σ n n=1 n6 Diverges Converges
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
N ZN3+1 N: DETERMINE IF This SERIES CONVERGES OR ONER GES You MUST SHOW HOW YOU...
N ZN3+1 N: DETERMINE IF This SERIES CONVERGES OR ONER GES You MUST SHOW HOW YOU CAME TO YOUR CONCLUSION N-! N.5" o DETERMINE IF THIS SERIES CONVERGES OR ONVERGES You MUST SHOW HOW YOU CAME TO YOUR CONCLUSION (-5) NE FIND THE INTERUAL OF CONVERGENCE OF { (-1). 3². INN NO2
Determine whether the series converges or diverges. n + 1 Σ +n n = 1 The...
Determine whether the series converges or diverges. n + 1 Σ +n n = 1 The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and a divergent p-series is greater...
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...
The three series Σ Α Σ Β, and ΣC, have terms 1 1 An B =...
The three series Σ Α Σ Β, and ΣC, have terms 1 1 An B = CHE n8 n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the given series converges, or...
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...
1.
2.
(1 point) Consider the following convergent series: Suppose that you want to approximate the value of this series by computing a partial sum, then bounding the error using the integral remainder estimate. In order to bound the value of the series between two numbers which are no more than 10 apart, what is the fewest number of terms of the series you would need? Fewest number of terms is 585 (1 point) Consider the following series: le(n Use...
please
A) 0.2028 B) 0.4055 C) 0.47 D) 0.235 For the series given, determine how large n must be so that using the nth partial sum to approximate the series gives an error of no more than the stated error. 20) 20) A) 600 B) 1500 C) 300 D) 3000 Use the Comparison Test to determine if the series converges or diverges. an=_cosn -4 t cos n n-1 n A) diverges S>소 Converge 6)or verges 21) due-toe-sones, 21) n s...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Question 5 Use the ratio test to determine if the series converges or diverges. ne-7n n=1 Diverges O Converges Question 6 Use the root test to determine if the series converges or diverges. DO Σ n n=1 n6 Diverges Converges
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
N ZN3+1 N: DETERMINE IF This SERIES CONVERGES OR ONER GES You MUST SHOW HOW YOU CAME TO YOUR CONCLUSION N-! N.5" o DETERMINE IF THIS SERIES CONVERGES OR ONVERGES You MUST SHOW HOW YOU CAME TO YOUR CONCLUSION (-5) NE FIND THE INTERUAL OF CONVERGENCE OF { (-1). 3². INN NO2
Determine whether the series converges or diverges. n + 1 Σ +n n = 1 The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and a divergent p-series is greater...
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...
The three series Σ Α Σ Β, and ΣC, have terms 1 1 An B = CHE n8 n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the given series converges, or...
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