Question

If x is a positive integer, is sqrt 1/x^2 greater than, less than, or equal to cube root of 1/x^3

Answer 1

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:

`(1)/(x^2)>=(1)/(x^3)`

So then the solution for this case would be greater than or equal