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- #1
- Jan 26, 2012
- 995
Here's this week's problem (and the last Graduate POTW of 2012!).
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Problem: Let $f$ be a nonnegative Lebesgue integrable function. Show that the function defined by\[F(x)=\int_{-\infty}^xf\,dm\]
is continuous by the monotone convergence theorem.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Let $f$ be a nonnegative Lebesgue integrable function. Show that the function defined by\[F(x)=\int_{-\infty}^xf\,dm\]
is continuous by the monotone convergence theorem.
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Remember to read the POTW submission guidelines to find out how to submit your answers!