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

Chapter 0, Problem 47

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Let f(t) be the so called exponential integral, a special function with applications to heat transfer and water flow,9 which has the property that f (t) = t 1 e t . Use the series for et about t = 0 to show that f(t) ln t + P3(t) + C, where P3 is a third-degree polynomial. Find P3. You need not find the constant C.

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