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Alternatively:
0th term: x^0/0!
1st term: x^1/1!
2nd term: x^2/2!
nth term: x^n/n!
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Evaluating e^x
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Alternatively:
0th term: x^0/0!
1st term: x^1/1!
2nd term: x^2/2!
nth term: x^n/n!