How e = 2.71828183, e calculation

Home Mathematics Numbers How e = 2.71828183 ?

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

How e = 2.71828183 ?

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

= 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.

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