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How do you calculate e?

Updated: 9/19/2023
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13y ago

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Value of e:

e = 2.71828 18284 59045 23536 (truncated to 20 decimal places)

The formula for working out the value of e = 1/0! + 1/1! + 1/2! + 1/3! + 1/4! + 1/5! + 1/6! + ....

The ! symbol means factorial.

OR,

e^x is the limit of the following series.

1 + x/1! + x^2/2! + x^1/3! . . . +x^n/n!

For x = 1, the limit is e. Hence

e = Limit[ 1 + 1 + 1/2! + 1/3! . . . +1/n! ]

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