Learn how to solve problems step by step online. Find the limit of ((x^2-3)^(1/2))/((x^3+1)^(1/3)) as x 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{x^2}{x^{2}} by x^2.

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