Given a positive integer n, recall that the notation n! = n(n-1)(n-2)... (3)(2)(1), which is called n factorial.
Most calculators will have a dedicated key for this calculation.
The n^th Taylor polynomial  for the exponential function f(x) = e^x is given by the formula:

(a) Write down the first six Taylor polynomial for the exponential function.

(b) Use a graphing device to plot each of the six functions.

(c) Use a. To approximate the value of the number e; compare with your calculator output.