What are the Horizontal Asymptotes of f(x) = (cot^-1)(x^2 - x^4)?

[FalconF1]

Homework Statement

the question says, find the Horizontal Asymptotes of the fallowing:
f(x) = (cot^-1) (x^2 - x^4)

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

The Attempt at a Solution

do i convert cot to it's components?
i have no idea, please help me.
i appreciate your time.

 

[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?

 

[FalconF1]

this is the actual equation.
attached as a picture.