To approximate e x , you can use a function of the form (This function is known as a Pad approximation.) The values of (0),

To approximate e^x, you can use a function
of the form

(This function is known as a Padé approximation.) The values of ƒ(0), ƒ'(0), and ƒ"(0) are equal to the corresponding values of
e^x. Show that these values are equal to 1 and find the values
of a, b, and c such that ƒ(0) = ƒ'(0) = ƒ"(0) = 1. Then use a
graphing utility to compare the graphs off and e^x.

f(x) = a + bx 1 + cx