In Exercise 24 of Section 1.1, a Maclaurin series was integrated to approximate erf(l)

Chapter 3, Problem 18

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In Exercise 24 of Section 1.1, a Maclaurin series was integrated to approximate erf(l), where erf(x) is the normal distribution error function defined by 2 f x erf(x) = = / e~''dt. JK ./O a. Use the Maclaurin series to construct a table for erf(x) that is accurate to within 10" ' for erf(x,), where x,- = 0.2/, for / = 0, 1,... , 5. b. Use both linear interpolation and quadratic interpolation to obtain an approximation to erf(|). Which approach seems most feasible?

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