a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at 0 for the following function. You do not need to use the definition of the Taylor series coefficients. b. If possible, determine the radius of convergence of the series. f(x) = b* for b > 0 . . . a. Write the first four nonzero terms of the series. Choose the correct answer below. 2 b x 3 O A. 1+ bx+ X + ... 2 6 O B. 1+ In (bx) + (In (bx))2 ( In (bx))'s + . .. 2 6 c. 1+ (Inb)x + (Inb) x2 + ( In b) x + ... 2 6 bx 2 OD. b+ bx+ bx + ... 2 6 b. Select the correct choice and fill in any answer boxes in your choice below. A. The radius of convergence of the series is R = co . O B. It is not possible to determine the radius of convergence of the series