3. Using the series f'(a) f"(a)((x - a)2 f""' (a) ((x - a)3 f(a) + (x - a) + + + 1! 2! 3! Find the Maclaurin series for f(x) = ex where a = 0 Use the power series above to evaluate ex to correct 3 dp (Round as necessary)4. The probability that a component is defective in a batch of samples is given by the successive terms of the expansion of (g +p)" where p is the probability a part is defective, g the probability a part is satisfactory n is the sample size. Show the expansion of (g +p)" , using both Binominal expansion and Pascals triangle. \f