In 1-6 find the Taylor series for f(x) around x = 0 and its radius of convergence r. At what point does f(x) blow up? 1 /(x) = 1/(1 -4x) 2 f(x) = 1/(1 - 4x]) 3 / (x) = el -x 4 f(x) = tan x (through x') 5 f(x) = In(e + x) 6 f(x) = 1/(1 + 4x? )