only information you have on a certain function f(x) is : 1) f(x) changes when x

Question

only information you have on a certain function f(x) is : 1) f(x) changes when x changes, and 2) -1 <= f(x) ,<= 1 for all x's between - infinity and + infinity. Is it possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from - infinity and + infinity? HINT:Suppose p(x) is the polynomial equal to a partial expansion of f(x). What happens to the "legs" of any polynomial no matter what it's degree? Think of y = x^2 or y = x^3.So can p(x) share ink with f(x) between - infifinity and infifinity if f(x) is bounded between -1 and 1? Explain

Explanation / Answer

(f(x) = tan^{-1}x)

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