To approximate e x , you can use a function of the form (This function is known
Question:
To approximate ex, 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
ex. 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 ex.
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