Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((y^2+1)^(1/2))/((y^3-3)^(1/3)) as y approaches infinity. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Rewrite the fraction, in such a way that both numerator and denominator are inside the exponent or radical. Separate the terms of both fractions. Simplify the fraction \frac{y^2}{y^{2}} by y^2.

Find the limit of ((y^2+1)^(1/2))/((y^3-3)^(1/3)) as y approaches infinity