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Factor the polynomial $x^3+x$ by it's greatest common factor (GCF): $x$
Learn how to solve limits to infinity problems step by step online.
$\lim_{x\to\infty }\left(\frac{x^2}{x\left(x^2+1\right)}\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of (x^2)/(x^3+x) as x approaches infinity. Factor the polynomial x^3+x by it's greatest common factor (GCF): x. Simplify the fraction \frac{x^2}{x\left(x^2+1\right)} by x. 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 . Separate the terms of both fractions.