Déterminer les éventuelle asymptotes des fonctions suivantes

1.  f(x) = (x^3 + 2 x^2 - x - 2)/(2 x^2 + x - 6)

2.  f(x) = ((x - 1)^(1/2) - 2)/((2 x - 1)^(1/2) - 3)

3.  f(x) = (x^2 - 2 x - 3)^(1/2) - x

4.  f(x) = (x^2 - 3 x + 2)^(1/2)

5.  f(x) = (x^2 - 1)^(1/2)/(3 - x)

6.  f(x) = (x - 1)^(1/2) - x^(1/2)

7.  f(x) = 1/(4 - x^2)^(1/2)

8.  f(x) = x (x^2 - x - 20)^(1/2)

9.  f(x) = (x - 3)/(x - 4)^(1/2)

10.  f(x) = ((x + 7)^(1/2) - 3)/(x - 2)

11.  f(x) = x + (x + 5)^(1/2)

12.  f(x) = (x^2 + 1)^(1/2) - x

13.  f(x) = (x - 1)^(3/2)/(x + 2)^(1/2)

14.  f(x) = -x + (x^2 - 2 x - 3)^(1/2) - 1

15.  f(x) = ((3 x - 2)^(1/2) - (x + 2)^(1/2))/(x - 2)

16.  f(x) = -x + (x^2 - 3 x - 10)^(1/2) + 2

17.  f(x) = (x^2 - 5 x - 14)^(1/2) - (x^2 - 2 x - 15)^(1/2)

18.  f(x) = (x^2 - 5 x - 14)^(1/2) + (x^2 + 4 x - 5)^(1/2)

19.  f(x) = (x^2 - 4)/(3 x^2 + 5 x - 2)

20.  f(x) = (2 - (x + 3)^(1/2))/(x - 1)

Solutions

Created by Mathematica  (December 3, 2006)
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