Let f (x) = ex and T3(x) = 1 x + x2 2 x3 6 . Use the error bound to show that for all x
Chapter 8, Problem 45(choose chapter or problem)
Let f (x) = ex and T3(x) = 1 x + x2 2 x3 6 . Use the error bound to show that for all x 0, |f (x) T3(x)| x4 24 If you have a GU, illustrate this inequality by plotting y = f (x) T3(x) and y = x4/24 together over [0, 1]
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