- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Sorry for posting this late. Here's this week's problem.
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Problem: Suppose that $f_n$ is a sequence of continuous functions on a subset $E\subseteq\mathbb{R}$ and that $f_n$ uniformly converges to a function $f$ on $E$. Show that $f$ is also continuous on $E$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Suppose that $f_n$ is a sequence of continuous functions on a subset $E\subseteq\mathbb{R}$ and that $f_n$ uniformly converges to a function $f$ on $E$. Show that $f$ is also continuous on $E$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!