In mathematics, e represents a constant, sometimes called Euler's number after Leonhard Euler (1707-1783). The importance of this constant comes from its use for:
The value of e is approximately 2.71828. A more exact value of e can be calculated by one of several methods:
This calculation uses the infinite sum | ||
n | 1/n! | Sum (approx) |
---|---|---|
0 | 1/0! = 1/1 = 1 | 1 |
1 | 1/1! = 1/1 = 1 | 2 |
2 | 1/2! = 1/2 = 0.5 | 2.5 |
3 | 1/3! = 1/6 ≈ 0.16666667 | 2.66666667 |
4 | 1/4! = 1/24 ≈ 0.04166667 | 2.70833333 |
5 | 1/5! = 1/120 ≈ 0.00833333 | 2.71666667 |
6 | 1/6! = 1/720 ≈ 0.00138889 | 2.71805556 |
7 | 1/7! = 1/5040 ≈ 0.00019841 | 2.71825397 |
8 | 1/8! = 1/40320 ≈ 0.00002480 | 2.71827877 |
9 | 1/9! = 1/362880 ≈ 0.00000275 | 2.71828152 |
10 | 1/10! = 1/3628800 ≈ 0.00000027 | 2.71828179 |
11 | 1/11! = 1/39916800 ≈ 0.00000003 | 2.71828181 |
... | ||
Table 1 |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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