Negative infinity limits with radicals

Question

limx--> -infty x^3/5 - x^1/5

Answer 1

lim     x^3/5(1 - x^-2/5)

x->-∞

 

 

Plugging in x=negative infinity, we get

 

lim     -∞(1 - 1/∞)

x>-∞

 

 

We know that 1/∞ = 0.

 

 

lim       -∞

x->-∞

 

The limit is negative infinity.