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Analysis, converging functions

Name: Anonymous 2007-12-09 17:33

Let f_n(x)=nx^n for 0<=x<=1 and f_n(x)=0 elsewhere. Does f_n converge, and if so, to what function?

Name: Anonymous 2007-12-09 19:13

It 'converges' to f(x)= inf at 1, 0 elsewhere. So, no, it doesn't, actually.

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