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hw2 - M421 HW 2 Due Friday Sept 21 From Wade Section 5.2...

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M421 HW 2 Due Friday Sept. 21 From Wade Section Page Number Problems 5.2 124-125 2, 3, 5a, 8 5.3 131-133 3c, 4abd, 8 Non-book Exercises 1) For n = 1 , 2 , . . . , define g n ( x ) = 2 xne - nx 2 for x [0 , 1] . (a) Show that x [0 , 1], lim n →∞ g n ( x ) = 0 . (b) Using the Fundamental Theorem of Calculus to evalutate the integrals on the left,
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