How e = 2.71828183 ?

The e constant can be approximately calculated by using the infinite series:

 

  = \frac{1}{1}+\frac{1}{1}+\frac{1}{1\times 2}+\frac{1}{1\times 2\times 3}+...

  =  1 +  1 +    0.5  +  0.166667  + ...

  =  2.71828182...

  ≈  2.71828183

e constant calculation stages

Calculation stage Additional sequence value Accumulated value
1 1.00000000 1.00000000
2 1.00000000 2.00000000
3 0.50000000 2.50000000
4 0.16666667 2.66666667
5 0.04166667 2.70833333
6 0.00833333 2.71666667
7 0.00019841 2.71825397
8 0.00002480 2.71827877
9 0.00000276 2.71821526
10 0.00000028 2.71828180
11 0.00000003 2.71828183

 

2.71828183 is an approximated value of the e constant.

The e constant has an infinite number of digits.

 


See also

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