how to prove that this sequence not converges uniformly in all the real line? I don“t know how to do this problem :S , in fact I think that it converges uniformly in "all the real line" The sequence is $$ S_n \left( x \right) = \sum\limits_{k = 1}^n {\frac{{x^k }} {{k!}}} $$
how to prove that this sequence not converges uniformly?
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real-analysis