Let f(t) be the so called exponential integral, a specialfunction with applications to

Chapter 10, Problem 47

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Let f(t) be the so called exponential integral, a specialfunction with applications to heat transfer and waterflow,9 which has the property thatf(t) = t1et.Use the series for et about t = 0 to show thatf(t) ln t + P3(t) + C,where P3 is a third-degree polynomial. Find P3. Youneed not find the constant C.

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