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Is a connected, first countable space necessarily Hausdorff?

I've been trying for forever to come up with a counterexample but haven't had any luck.

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    We do not remove questions just because they have been answered. To show that you are satisfied with an answer, click the checkmark next to the answer you are accepting.2011-11-16
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    [Trivial Topology](http://en.wikipedia.org/wiki/Trivial_topology)2011-11-16

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