ex=1+1!x+2!x2+3!x3+4!x4+...
=n=0∑∞n!xn for all x
e−1=1+1!−1+2!(−1)2+3!(−1)3+4!(−1)4
+5!(−1)5+6!(−1)6+7!(−1)7+8!(−1)8+...
=1−1+21−61+241−1201+7201−50401
+403201−...
403201≈0.0000245
≈4032020160−6720+1680−336+56−1≈4032014839
≈0.368 e−1=0.368
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