Problem

Expand the error function in a series by using the exponential series and integ...

Expand the error function

in a series by using the exponential series and integrating. Obtain the Taylor series of erf(x) about zero directly. Are the two series the same? Evaluate erf(1) by adding four terms of the series and compare with the value erf(1) ≈ 0.8427, which is correct to four decimal places.

Hint: Recall from the Fundamental Theorem of Calculus that

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Solutions For Problems in Chapter 1.2

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