Let f (x) = (ex ex)/x. a. Find limx0 (ex ex)/x. b. Use three-digit rounding

Question:

Let
f (x) = (ex − e−x)/x.
a. Find limx→0 (ex − e−x)/x.
b. Use three-digit rounding arithmetic to evaluate f (0.1).
c. Replace each exponential function with its third Maclaurin polynomial, and repeat part (b).
d. The actual value is f (0.1) = 2.003335000. Find the relative error for the values obtained in parts (b) and (c).