For the function f(x) = cosa, (a) derive the Taylor series for xo = 0, (b) establish for which values of a the series converges and (c) calculate cos 0.5 accurate to 4 decimals. For the function f(x) = 1 1 + x (a) derive the Taylor series for ro = 0, (b) establish for which values of r the series converges and 1 (c) utilise your results to calculate accurate to 3 decimals. 0.9