Finding lim f(x) as x->+/- infinity?

[mimitka]

Finding lim f(x) as x-->+/- infinity?

f(x)= x^(5/3)-5x^(2/3)

Need to find limit f(x) as x-->+infinity, and x-->-infinity?

 

[scorpion990]

Which term dominates as x approaches +/- infinity?

 

[HallsofIvy]

Factor out x^5/3: f(x)= x^5/3(1- x^-1) The limit of 1- x^-1, as x goes to plus or minus infinity should be pretty easy. What does that tell you ?