Consider the function f(x) = ln(1 + x) and its Taylor series about x = 0. a. [4 points] Determine the first four non-zero terms of the Taylor series for f(x) = ln(1+x) about x = 0. Be sure to show enough work to support your answer. b. [4 points] Find the first three non-zero terms of the Taylor series for g(x) = ln (1) about x = 0. Be sure to show enough work to support your answer. (Hint: You may find it helpful to utilize properties of logarithms.) c. [2 points] Find the exact value of the sum of the series 3 5 3 2 3 (Q) + (O) + (0) +- 2 2 3 5 +.... 4 3 4 4