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Riddle me this: what value does the power series Σn=0∞xn/n! have, in terms of x? Of course, the answer is ex

From my (fuzzy) math memories, I thought that:

exp(x)= 1 + (x^1/1!) + (x^2/2!) + ... + (x^n/n!) + o(x^n) _near_ x=0




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