please box answers Find a power series representation for the function. (Give your power series representation centered at x0.) 4 x16 n=0 Determine the interval of convergence. (Enter your answer usin...

Question

Question

please box answers Find a power series representation for the function. (Give your power series representation centered at x0.) 4 x16 n=0 Determ

math calculus

Answer 1

Answer #1

ince ne knew thet 4과 4们 4 2 2 Go l6 (-リ Xて陽 16 す1 4) 2. uRodius of civesence 4+ 4fr1 2. -16,/6) -1 16 ( 2 i6 16 So,itB dine

Answer 2

Answer #2

So close. The numerator should be x^(4n+2), which would make the interval of convergence (-2, 2).

source: me

answered by: Davis

Answer 3

Similar Homework Help Questions

Find a power series representation for the function. (Give your power series representation centered at x...

Find a power series representation for the function. (Give your power series representation centered at x = 0.) Rx) = 2x f(x) = Σ n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
Find a power series representation for the function. (Give your power series representation centered at x...

Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = 328 3-x Ax) = Š (C ). n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
Find a power series representation for the function. (Give your power series representation centered at x...

Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = 2x² + 1 PX = (O Determine the interval of convergence. (Enter your answer using interval notation.)

Find a power series representation for the function. (Give your power series representation centered at x...

Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) 7x2 + 1 20 f(x) = Σ -Σ Determine the interval of convergence. (Enter your answer using interval notation.)
5-0-5 points Find a power series representation for the function; find the interval of convergenc...

5-0-5 points Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x0.) f(x) 1 - x4 provided xl< n=0 6. +-15 points Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x0.) x) 4x-1 provided xl n=2 5-0-5 points Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered...
Find a power series representation for the function. (Give your power series representation centered at x...

Find a power series representation for the function. (Give your power series representation centered at x = 0.) $(x) = 571 f(x) = { o n = 0 Determine the interval of convergence.

11 . 12 13 Find a power series representation for the function. (Give your power series...

11 . 12 13 Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = 5 x f(x) = ;- n = 0 Determine the interval of convergence. (Enter your answer using interval notation.) Find a power series representation for the function. (Give your power series representation centered at x = 0.) x2 f(x) X4 + 16 f(x) = Σ |(-1)" ) n = 0 X (a) Use differentiation to find...
Find a power series representation centered at for the following function using known power series. Give...

Find a power series representation centered at for the following function using known power series. Give the interval of convergence for the resulting series f(x)= 21 21 + x Which of the following is the power series representation for fx)? OA (-21" OB ko Oc. (x2) OD 212 The interval of convergence is (Simplify your answer. Type your answer in interval notation)
34. [-12 Points] DETAILS SCALCET8 11.9.501.XP. Find a power series representation for the function. (Give your...

34. [-12 Points] DETAILS SCALCET8 11.9.501.XP. Find a power series representation for the function. (Give your power series representation centered at x = 0.) 9 f(x) = 16 + x 00 f(x) n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)

Answer all QUESTIONS & LABEL EACH ANSWER! pleaseeee. 6. 12 points LarCaic11 9.9.022 Use the Power series to determine a power series for the function, centered at 0, Determine the interval of con...

Answer all QUESTIONS & LABEL EACH ANSWER! pleaseeee. 6. 12 points LarCaic11 9.9.022 Use the Power series to determine a power series for the function, centered at 0, Determine the interval of convergence. (Enter your answer using interval notation.) Need Help?ReaIch Talk to a Tutor 7. 12 pointa LarCalc11 9.9.025 Use the power series to find a power series for the function, centered at 0. g(x) =-x-1 Determine the interval of convergence. (Enter your answer using interval notation.) Need Help?...