How many terms of the series do we need to add in order to find the...
1. Suppose you are told that the series 4, is a convergent alternating series with +ıl<«l for all 7., and that the first 5 terms are: ho 15 als What is the maximum possible error associated to the partial sum s? (That is, if you add up the first four terms, what is the maximum distance that sum could be from the actual sum of the series?)
(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...
No work required I just need answers!
QUESTION 7 Find the values of p for which the series is convergent. (-1)" Σ n=2 (In(n 4) O a. p > 0 O b.p> 1 O c. p<1 d.00 QUESTION 8 How many terms of the series do we need to add in order to find the sum to the indicated accuracy? 27 (-1)"+1 (error| <0.2793) n = 1 n2 O a n = 5 b. n = 6 Ocn= 12 d....
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1 Find the Laurent series for 22 +22 for 0 < 121 < 2 Find the Laurent series for (z+2)}(3-2) for 2 – 3) > 5 1 Find the Laurent series for z2(z-i) for 1 < 12 – 11 < V2
Please use power series to
solve this!!!
And also please write out ALL work to this problem as I need to
understand exactly how you got to your answer.
Use series to approximate the definite integral I to within the indicated accuracy. I = -6°*xerox (lerror] < 0.001) I =
Use S - SN<bN+1 to find the smallest value of N such that Sn approximates the value of the sum S to within an error of at most 104 S = (-1)"+1 11 n(n+1)(n+2) (Give your answer as a whole number.)
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...
) 1. Find the Laurent series of f(z) on the indicated domain. (a) -,2, on 0 < |z-i| < 2. 1+22 222z 5 , on z 1| > 1
Find the interval of convergence. (Enter your answer using interval notation.) 27(x - 7)3n+6 n = 1 11 13 Use the equation 1 = Ï xn for 1x < 1 1 - X n = 0 to expand the function in a power series with center c = 0. 192 + 3x3 sW n = 0 Determine the interval of convergence. (Enter your answer using interval notation.) Use the formula In(1 + x) = - 1) - 1x = x...
1 1 Find the Taylor series for f(x) about <= 5. 3.2 4 The general term is an = The first five terms of the Taylor series are Show or upload your work below.