1.53 points LarCalc 10 9.5.509·XP 10 9.5.509.XP My Notes Consider the following (a) Use the Alternating...
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.
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
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...
is the answer
5 or more terms?
Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001. (-1)"337. n=1 n+5 or more terms should be used to estimate the sum of the entire series with an error of less than 0.001.
Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001 1 (-1)n +1 3 n=1 26n n + or more terms should be used to estimate the sum of the entire series with an error of less than 0.001
10. 1.92 points RogacalcE13 10 7.047 y Notes Ask Your leacher Consider the following function. (a) Use the Maclaurin expansion for et to express the function Fox) as an alternating power series in x. F(x) (b) Find an N such that the partial sum s of the Maclaurin series approximates the integral for x1.1 to within an error of at most 0.001 (c) Compute sw using the N found above. (Round your answer to six decimal places.) SN 7. 01.92...
16) Approximate the definite integral using power series. If the antiderivative obtained is an alternating series, use the Alternating Series Estimation Theorem to ensure the error is less than 0.001; otherwise, use at least four nonzero terms to approximate the integral. (a) { er at 6) ſ'cos(x) dx
-4 points RogaCalcET3 10.6 046 My Notes Ask Your Teacher Use the formula 2.2-L-... for lxķi n=1 and your knowledge of alternating series to find the smallest N such that the partial sum Sy approximates In 3 to within an error of at most 103. Confirm this using a calculator to compute both Sy and In(). CRound your answers to six decimal places.) n(3 Iri eBook
-4 points RogaCalcET3 10.6 046 My Notes Ask Your Teacher Use the formula 2.2-L-......
9. -3 points LarCalc11 9.10.064 My Notes Ask Your T Use a power series to approximate the value of the integral with an error of less than 0.0001. (Round your answer to five decimal places.) 9 x In(x + 1) dx 219 x In(x+1) dx
9. -3 points LarCalc11 9.10.064 My Notes Ask Your T Use a power series to approximate the value of the integral with an error of less than 0.0001. (Round your answer to five decimal places.)...
Use the alternating series remainder to approximate the sum of
the series using the first six terms.
8+] (1)+10 31