(1 point) The function f(x) = 6 (1 - 2x) can be represented as a power...
- (1 point) The function f(x) 4 (1-2x)2 is represented as a power series f(x) = 0,*". n=0 Find the first few coefficients in the power series. Co = C1 = C2 = C3 = C4 = Find the radius of convergence R of the series. R=
(1 point) The function f(x) = 4x arctan(6x) is represented as a power series f(x) = Xcnx". n=0 Find the first few coefficients in the power series. co = 0 Ci = 0 C2 = 24 C3 = 0 C4 = -288 Find the radius of convergence R of the series. R= II
3 is represented as a power series: (1 point) The function f(x) 1+36x2 Σ f(x) - n-0 Find the first few coefficients in the power series. CO CI C2 C3 CA Find the radius of convergence R of the series R =
9 (1 point) The function f(1) = 11622 is represented as a power series: f(x) = 42" Find the first few coefficients in the power series. Co = 9 C1 = -9*16 C2 = 9*16^2 C3 = -9*1643 9*16^4 Find the radius of convergence R of the series. R= 1/4
(1 point) The function f(x) = 7 (152) is represented as a power series 00 f(x) = 42" 10 Find the first few coefficients in the power series. = C1 C2 = C3 C4 = Find the radius of convergence R of the series. R=
Problem 9. (8 points) The function fx) 1x In(1 + 2x) is represented as a power series f(x) = Σ cnx" . n-0 Find the FOLLOWING coefficients in the power series. 0 Co C12 C22 C38/3 C44 Find the radius of convergence R of the series. R =| 1/2 Note: You can earn partial credit on this problem. Entered Answer Preview Result 2 2 incorrect -2 2 incorrect
(1 point) The function f(3) = ln(1 – z?) is represented as a power series f(3) = EMOCI" Find the FOLLOWING coefficients in the power series. Со Il C1 = C2 = C3 = C4 Find the radius of convergence R of the series. R=
2x (1 point) Represent the function as a power series f(x) = { Cnx" 4 + x n=0 Co = 0 C1 = 1 C2 = C3 = C4 = Find the radius of convergence R =
The function f(x) = - - may be represented by the power series 1-x Part 1: Compute Some Coefficients Find the first four coefficients for the power series: MMMM Part 2: What's the Pattern? Part 3: Radius of Convergence
00 (1 point) Represent the function 3 (1 - 2x) as a power series f(x) = { n=0 3 C1 = 9 C2 = 300 C3 = 3000 C4 = 30000 Find the radius of convergence R =