Find the limit of $\frac{n^3+n^2-6n^6}{n^3+n^8+10n^6}$ as $n$ approaches $\infty $

Learn how to solve limits by direct substitution problems step by step online. Find the limit of (n^3+n^2-6n^6)/(n^3+n^810n^6) as n 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 . Separate the terms of both fractions. Simplify the fraction \frac{n^8}{n^8} by n^8. Simplify the fraction by n.