# Lim x→inf text book example confusing step

## Main Question or Discussion Point

I was hoping someone could clarify a step of an example in my calculus textbook.

lim x→∞ (√(2*x2+1))/(3*x-5) = lim x→∞ (√(2+(1/x2)))/(3-(5/x)), (since √x2=x for x>0)

The description for the step says to divide numerator and denominator by x.

I understand to divide top and bottom of a rational function by the xn where n is the highest power of x that occurs in the denominator in this situation but I don't understand how the numerators equate in this equation.