In Plancks Radiation Law, we encounter the integral , 1 dx x5(e1/x 1). (a) Explain why a
Chapter 7, Problem 31(choose chapter or problem)
In Plancks Radiation Law, we encounter the integral , 1 dx x5(e1/x 1). (a) Explain why a graph of the tangent line to et at t = 0 tells us that for all t 1 + t e t . (b) Substituting t = 1/x, show that for all x = 0 e1/x 1 > 1 x. (c) Use the comparison test to show that the original integral converges.
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