lim (1 + 1/x)x = e (
2.71828...) x |
lim (1 + x)1/x = e
x 0
lim (1 + y/x)x = ey
x
lim (xn - cn) / (x
- c) = n· cn-1
x c
lim (ax - 1) / x = ln
a (a > 0)
x 0
lim 1 / (1 + ax) = x |
1 si a < 1 1/2 si a = 1 0 si a > 1 |
lim xn / ax =
0 (a > 1 ; n
N)
x
lim an / n! =
0 (n N)
x
lim (sin x) / x =
1 x
en radians x 0 |
lim (sin z) / z = / 180 z en
degrés z 0 |
Pour x en radians :
lim (sin nx) / x = n x 0 |
lim (tan x) / x = 1 x 0 |
|
lim (sin nx) / (sin mx) = n / m x 0 |
lim (tan nx) / x = n x 0 |
|
lim (sin x) / x = 0 x |
lim (tan nx) / (tan mx) = n / m x 0 |
|
lim arctan 1/x = / 2 x 0+ |
lim arctan 1/x = - / 2 x 0- |