Find the limit
(calculus)

0

Step-by-step explanation:

Step 1: Define

Step 2: Substitute in infinity

We know that the second exponent is always going to be bigger than the 1st exponent, so we would get a negative exponent.

We can simplify a negative exponent into a fraction.

We know that if we keep plugging in larger numbers for x, the denominator is going to be infinitely big. And bigger the number we are dividing by, the smaller the entire fraction is going to be.

Therefore, we would be approaching 0.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are