Final Answer
Step-by-step Solution
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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. If we directly evaluate the limit \lim_{x\to \infty }\left(\frac{x}{x^2+1}\right) as x tends to \infty , we can see that it gives us an indeterminate form. We can solve this limit by applying L'H么pital's rule, which consists of calculating the derivative of both the numerator and the denominator separately.