(1 point) What is the least number of terms of the series that we need to...
How many terms of the series do we need to add in order to find the sum to the indicated accuracy? ËS-15-, ulerorl 5 0.001 ; (error] < 0.0001. ng n=1 Answer: Note: Enter the smallest possible integer. o find the sum to the indicated accuracy? È (-1)- Jerror] < 0.0008. error < 0.0008. ) 2
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 0.00 (-1) + 1 11 5 X
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.
I'm having difficulty how many terms need to be added in. Test the series for convergence or divergence. 00 Σ (-1)" n2n n = 1 Identify bn. 1 n2" Evaluate the following limit. lim bn n → 00 0 Since lim bn O and bn + 1 s bn for all n, the series is convergent n00 If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to...
The serie (-1)*+1 2. converges by Alternating Series Test. What is the smallest number of terms required to approximate the sum of the series with e < 10-4? none of the above 2n +1 Consider the series - n3 + 3n n=0 Which of the following statements are true? Check all that apply. 21 TL non The series is comparable to a geometric series. Root Test will work to establish convergence/divergence of the series. The series converges.
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...
Need answer ASAP, will give thumbs up! What is the smallest value N for which we can guarantee that the error approximation of the alternating series - Echo by the partial sum iMz (-1) is at most 10-4?
Question 11 0/5 points n+1 satisfies all requirements of the Alternating Series Test. (You don't It 2n=1 have to check that - trust me on this one.) (2n+1) (a) Use a calculator to evaluate the partial sum S3 of this series. Give the answer rounded to four decimal places. (b) Estimate the error of using S3 as an approximation to the sum of the series, i.e. estimate the remainder R3. Recall that the remainder estimate of the Alternating Series Test...
Let Pbé à pósitive, continuous, and decreasing function for x 2 1, such that an-n). If the series an n 1 converges to S, then the remainder RN -S-Sw is bounded by Use the result above to approximate the sum of the convergent series using the indicated number of terms. (Round your answers to four decimal place Σ ,T, ten terms n2 +1' Include an estimate of the maximum error for your approximation. (Give your answer to four decimal places.)...
QUESTION 1 10 po Verify in your own mind that you can use the Alternating Series Test to show that the following series is convergent. How many terms of the series do we need to add in order to find the sum to the accuracy error < 0.00005? (-1)"+1 n=1 n6 Enter your answer as a whole number.