lim (1 + 1/x)x = e ( 2.71828...) x

lim (1 + x)^1/x = e
x 0

lim (1 + y/x)^x = e^y
x

lim (xⁿ - cⁿ) / (x - c) = n· c^n-1
x c

lim (a^x - 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 / a^x = 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-