Answer :
Problem
If x is a positive integer, is sqrt 1/x^2 greater than, less than, or equal to cube root of 1/x^3
Solution
For this case we can analyze the following:
If x is an integer then we can conclude that
x^3 >= x^2
So then we need to satisfy this relationship:
[tex]\frac{1}{x^2}>=\frac{1}{x^3}[/tex]So then the solution for this case would be greater than or equal