Combining power series Use the power series representation
to find the power series for the following functions (centered at 0). Give the interval of convergence of the new series.
f(−4x) = In (1 + 4x)
In this problem we have to find the power series of f(-4x) = ln(1+4x) (centered at ‘o’), and the interval of convergence of the new series.
Given f(x) = ln(1-x) = - , for -1…………(1)