How e = 2.71828183 ?

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

 

 

  =  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.

 

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See also

• e constant
• Natural logarithm