Question

How many terms of the series (-1)^n/n! do you need to add up for the partial...

How many terms of the series (-1)^n/n! do you need to add up for the partial sum to be at most 0.00001 away from the true sum of the series? What is the value of the partial sum?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
How many terms of the series n=2 to infinity 12/(6n ln(n)^2) would you need to approximate...
How many terms of the series n=2 to infinity 12/(6n ln(n)^2) would you need to approximate the sum with an error less than 0.02?
Consider the series: ∞∑n=21n[ln (n)]4 a) Use the integral test to show that the above series...
Consider the series: ∞∑n=21n[ln (n)]4 a) Use the integral test to show that the above series is convergent b) How many terms do we need to add to approximate the sum with in Error<0.0004.
Consider the following series. ∞ 1 n4 n = 1 (a) Use the sum of the...
Consider the following series. ∞ 1 n4 n = 1 (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) s10 = 0.082036 Incorrect: Your answer is incorrect. (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) sn + ∞ f(x) dx n + 1 ≤ s ≤ sn + ∞ f(x) dx n ≤ s...
Construct the Taylor series of f(x) = sin(x) centered at π. Determine how many terms are...
Construct the Taylor series of f(x) = sin(x) centered at π. Determine how many terms are needed to approximate sin(3) within 10^-9. Sum that many terms to make the approximation and compare with the true (calculator) value of sin(3).
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge...
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge absolutely.    (Use the fact that: ln n < n) Determine if the series converge conditionally. (Estimate the sum of the infinite series using the first 4 terms in the series and estimate the error. How many terms should we use to approximate the sum of the infinite series in question, if we want the error to be less than 0.5?
Given the alternating series:    n=2∞(-1)^n/ln(n) (7 pts) Determine if the series converge absolutely.    (Use the fact...
Given the alternating series:    n=2∞(-1)^n/ln(n) (7 pts) Determine if the series converge absolutely.    (Use the fact that: ln n < n ) (7 pts) Determine if the series converge conditionally. (7 pts) Estimate the sum of the infinite series using the first 4 terms in the series and estimate the error. (7 pts) How many terms should we use to approximate the sum of the infinite series in question, if we want the error to be less than 0.5?
The series ∑ n = 1 to ∞ sin^2 ⁡( n *π/ 2 ) may be...
The series ∑ n = 1 to ∞ sin^2 ⁡( n *π/ 2 ) may be approximated to within an error bound of 1/200 using only the 10-th partial sum. its a true or false question
Let Sum from n=1 to infinity (an) be a convergent series with monotonically decreasing positive terms....
Let Sum from n=1 to infinity (an) be a convergent series with monotonically decreasing positive terms. Prove that limn→∞ n(an) = 0.
(a) Use any test to show that the following series is convergent. X∞ n=1 (−1)n n...
(a) Use any test to show that the following series is convergent. X∞ n=1 (−1)n n 2 + 1 5 n + 1 (b) Find the minimum number of terms of the series that we need so that the estimated sum has an |error| < 0.001.
Consider the following series: lim n=1 to infinite 1 + 2n/ 3^n (a) Determine the value...
Consider the following series: lim n=1 to infinite 1 + 2n/ 3^n (a) Determine the value of s2, the second partial sum. (b) Does the series converge? Explain why or why not
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT