lab3.mws
Purpose
Exercise 1 : Horizontal and Vertical Asymptotes
a)
F(x) = 2*x/sqrt(x^2-5)
b)
F(x) = 2*x/sqrt(x^2+5)
c)
F(x) = sin(abs(x-3))/(x-3) + (x+1)/x
d) F(x) = tan(x/2)
Exercise 2 : Oblique Asymptotes
a)
F(x) = ( 3*x^3 + 4*x^2 - x + 1 ) / (x^2 + 1)
b)
F(x) = ( 3*x^3 + 4*x^2 - x + 1 ) / (x^2 - 1)
Exercise 3. Nonlinear asymptotics
a)
b)
c)
d) -- impossible (ignore)
e)
Exercise 4.