Mechanical System 1D: Need Help?

[TheDispStud]

Homework Statement

Let's consider the motion with energy E of a one-dimensional mechanical system whose potential satisfies : V(x)=V(-x) lim(x→ + ∞) V(x)/x^2= + ∞

Relevant Equations

Determine the limit for E → + ∞ of this motion

I have no idea about a possible solution, please help me :)

 

[PeroK]

Homework Statement:: Let's consider the motion with energy E of a one-dimensional mechanical system whose potential satisfies : V(x)=V(-x) lim(x→ + ∞) V(x)/x^2= + ∞
Relevant Equations:: Determine the limit for E → + ∞ of this motion

I have no idea about a possible solution, please help me :)

According to the guidelines, you need to make an effort:

https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/

 

[wrobel]

Determine the limit for E → + ∞ of this motion

lim of which function? for any motion E=const
I do not understand what this is. For example $L=\dot x^2/2-V,\quad V=(x^2-1)^2$ and?