Approximating f(x) =  e^x In calculus, it can be shown that

We can approximate the value of f(x) =  e^x for any x using the following sum

for some n.

(a) Approximate f(1.3) with n = 4.

(b) Approximate f(1.3) with n = 7.

(c) Use a calculator to approximate f(1.3).

(d) Using trial and error along with a graphing utility’s SEQuence mode, determine the value of n required to approximate correct to eight decimal places.

f(x) = e* = E k=0 k! f(x) = e* = k=0 k!