Use the equation 1 1x = Ž for 1x1 <1 1 - X n = 0 to expand the function in a power series with center c = 0. 1 f(x) 5 + x3 00 Σ n = 0 Determine the interval of convergence. (Enter your answer using interval otation.)
Use the power series 1 1 + x = (-1) (-1)", IX1 < 1 no to find a power series for the function, centered at 0. g(x) = 1 9 x + 1 00 g(x) = Σ no Determine the interval of convergence. (Enter your answer using interval notation.) Submit Answer
Use the power series itxË (-1)"X", Ixl < 1 -n=0 to determine a power series for the function, centered at 0, 14 02 7 f(x) (x + 1) dx2 ( x + 1 00 f(x) no Determine the interval of convergence. (Enter your answer using interval notation.) 3. [-17.69 Points] DETAILS LARCALC11 9.2.061. Find all values of x for which the series converges. (Enter your answer using interval notation.) 00 (8x)" n=1 For these values of x, write the sum...
1 6. Using the power series = Σ c" |x | < 1, find a power series about O for 1 х n=0 1 and state the radius of convergence. (2 - x)2
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)! series for the function f(x) = sin(x) sin(3x) and its interval of convergence. 23 Find the power series representation for the function f(2) and its interval (3x - 2) of convergence. 5. +
3. [0/10 Points] DETAILS LARCALC11 9.9.026. 1/2 Submissions Used Use the power series 1 | (-13240, Ixl <1 1 + x n=0 to find a power series for the function, centered at 0. f(x) = In(x4 + 1) 00 f(x) X n0 Determine the interval of convergence. (Enter your answer using interval notation.) I X Submit Answer
Use the equation 1,- Σ x for x < 1 1 - x n = 0 to expand the function in a power series with center c = 0. f(x) = 2 + 9x į n=0 Determine the interval of convergence. (Enter your answer using interval notation.) eBook -/1 Points] DETAILS ROGACALCET3 10.6.055. Find all values of x such that 9.22 2(n!) mel converges. (Enter your answer using interval notation.)
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...
4. Use the power series representaion f(t) = In(1 - 1) =- for -1 <<1, k=1 to find the power series representation for the following function(centered at 0). Give the interval of convergence of the new series. p(r) = 2.r" ln(1-2) 5. Find the power series representation for g centered at 0 by differentiating or integrating the power series of f(perhaps more than once). Give the interval of convergence for the resulting series. 1 using (3) 1-
Find the radius of convergence, R, of the series. (-1)"x Σ Find 00 n n = 1 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = [-/1.04 Points] DETAILS SCALCET8 11.8.014. Find the radius of convergence, R, of the series. 00 x8n n! n = 1 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = OFI Find the radius of convergence,...