Show that a nonzero polynomial function y = f (x) cannot satisfy the equation y = y. Use

Chapter 3, Problem 56

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Show that a nonzero polynomial function y = f (x) cannot satisfy the equation y = y. Use this to prove that neither f (x) = sin x nor f (x) = cos x is a polynomial. Can you think of another way to reach this conclusion by considering limits as x ? 5

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