A function that is not a polynomial can often be
Chapter , Problem 72(choose chapter or problem)
A function that is not a polynomial can often be approximated by a polynomial. For example, for certain -values, the function () = can be approximated by the fifthdegree polynomial ()=1+ + 2 2 + 3 6 + 4 24 + 5 120 . (a) Show that (1) (1) = . How good is the estimate? (b) Calculate (5). How well does (5) approximate (5)? (c) Graph () and () together on the same set of axes. Based on your graph, for what range of values of does () give a good estimate for ()?
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