Question: The function is called the sine integral function. a. Expand the integrand in a Taylor series about 0. b. Integrate the series to find a

The function sin t dt Si(x) = is called the sine integral function.

a. Expand the integrand in a Taylor series about 0.

b. Integrate the series to find a Taylor series for Si.

c. Approximate Si(0.5) and Si(1). Use enough terms of the series so the error in the approximation does not exceed 10-3.

sin t dt Si(x) =

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