Show that 0 x n e x2 dx converges for all n > 0. First
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Show that ∫∞0 xne−x2 dx converges for all n > 0. First observe that xne−x2 < xne−x for x > 1.
Then show that xne−x < x−2 for x sufficiently large.
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For x 1 x x hence e er and 0 e 1 the following inequality holds N...View the full answer
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