Follow the steps to find a power series representation for the function 1 f(x) = 1-2x a) Use the fact that has power series representation Hox" and substitute 2x for x in the series. b) Determine the radius and interval of convergence for the power series representation you found in (a). 2. Follow the steps to find a power series representation for the function f(x) = (1 - 2x) 2 a) Calculate SG-221 b) Notice, what we found in (a) looks like the sum of a geometric series, the same series we found in question 1. Hence, we get the equation 1 -Σ)" 1-2x Now, differentiate each side of the equation to get a power series representation for our original function
