Let a > 0 and n > 1. Define f (x) = xn eax 1 for x = 0 and f (0) = 0. (a) Use LHpitals
Chapter 7, Problem 94(choose chapter or problem)
Let a > 0 and n > 1. Define f (x) = xn eax 1 for x = 0 and f (0) = 0. (a) Use LHpitals Rule to show that f is continuous at x = 0. (b) Show that 0 f (x) dx converges. Hint: Show that f (x) 2xneax if x is large enough. Then use the Comparison Test and Exercise 93.
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