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## Homework Statement

I am trying to show that R^n\{x} where x could be any point in R^n is connected for n>1. I have been thinking about this for a while but haven't had any luck. Seems like that I'm missing something simple. I tried to construct a continuous map from R^n to R^n\{x}. All I came up was to send x to some other point y, but that map did not seem to be continuous. Any help is appreciated!