(2) Show that the series converges. Determine the smallest number of terms required to ap- proximate...
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.
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.
just number 8 please and show work thank you
Determine whether the series converges or diverges, and explain why. If it is a geometric series that converges, find the sum. 1 6) n-3 n=1 MoMo Mo 7) n= 5 ani 8) n+4 an
(1 point) What is the least number of terms of the series that we need to add in order to approximate the sum to within 0,003 of the actual sum of the series? (-1)"-1 n2 n 1 ISum - Sk Slak+1|| Recall that for an alternating series: error number of terms: N (Don't forget to enter the smallest possible integer.) approximation of sum: S
(1 point) What is the least number of terms of the series that we need to...
Please let a = 23;
Show work as well, thank you!!
1. Invent a distinctive positive number o. (a) Determine the interval in which the series Σ nan converges ab- solutely. ,n (b) What is the fourth partial sum of m- 7l Σ nam. (c) Let f(r) Compute the first four terms of a power series for f'(x) (d) Let f(z) = Compute the first four terms of a power nan series for /f(x) da
1. Invent a distinctive positive...
00 Determine whether the series 2" +5" 6 converges or diverges. If it converges, find its sum. n=1 Select the correct answer below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is the sum of two geometric series, at least one with In 21. The series converges because it is the sum of two geometric series, each with (r< 1. The sum of the series is OB (Simplify your answer.)...
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show all of your work. (The final exam may include different series that require different convergence tests from the test required in these problems) 3" 2" c) b) n-1 n 2"n e)Σ d) n-2川Inn (2n
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show...
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]
2. (a) Determine if the following series converges or diverges. 2" No n+1 (b) Determine if the following geometric series converges or diverges. If it converges, find the sum. 0.444444...