4. * Recall that the error due to linear interpolation of the function f(x) on [xo, x1] is f"(§a) e1(x) = f(x) – P1 (x) = (x – x0) (x – x1) 2! for some f E (xo, x1). Suppose that the function f(x) =...

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Extracted text: 4. * Recall that the error due to linear interpolation of the function f(x) on [xo, x1] is f"(§a) e1(x) = f(x) – P1 (x) = (x – x0) (x – x1) 2! for some f E (xo, x1). Suppose that the function f(x) = sin x is tabulated at equal intervals of length h. What value of h will ensure that the use of linear interpolation between two successive entries in this table will produce an error of no more than 0.5 x 10-4?