I was hoping someone could clarify a step of an example in my calculus textbook.(adsbygoogle = window.adsbygoogle || []).push({});

lim x→∞ (√(2*x^{2}+1))/(3*x-5) = lim x→∞ (√(2+(1/x^{2})))/(3-(5/x)), (since √x^{2}=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 x^{n}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.

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# Lim x→inf text book example confusing step

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