Constants of e
The mathematical e constants.
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e is a mathematical constant - also called the Euler's number. e is a real and irrational number and defined as
e = limx→∞(1 + 1 / x)x
= limx→∞(1 + x)1/x
= 2.71828 18284 59045 23536 02874 71352 66249 77572 47093 ... (1)
- 1/e = 0.36787 94411 71442 32159 55237 70161 46086 74458 11131 ... (2)
- e2 = 7.38905 60989 30650 22723 04274 60575 00781 31803 15570 ... (3)
- M = log10 e = 0.43429 44819 03251 82765 11289 18916 60508 22943 97005 ... (4)
- 1/M = loge 10 = 2.30258 50929 94045 68401 79914 54684 36420 76011 01488 ... (5)
- log10 M = 9.63778 43113 00536 78912 29674 ... (6)
Derivatives of e
(ex)' = ex (7)
Integrals of e
∫ ex dx = ex + c (8)
Base e logarithm
ln x = logex (9)
Exponential function
f(x) = exp(x) = ex (10)
Euler's equation
eiθ = cos(θ) + i sin(θ) (11)
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