# Horizontal Asymptotes

1. Sep 26, 2009

### FalconF1

1. The problem statement, all variables and given/known data
the question says, find the Horizontal Asymptotes of the fallowing:
f(x) = (cot^-1) (x^2 - x^4)

f(x) = (cot^-1)(x)

3. The attempt at a solution
do i convert cot to it's components?
i have no idea, plz help me.

2. Sep 26, 2009

### slider142

Horizontal asymptotes only occur as behavior when the argument of a function increases without bound as the function tends to a finite number or decreases without bound as the function tends to a finite number.
Does your notation stand for the inverse function of the cotangent (the arccotangent) or just the reciprocal of the cotangent?
How does the function behave as x increases without bound? As x decreases without bound?

3. Sep 26, 2009

### FalconF1

this is the actual equation.
attached as a picture.

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