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Simplifying

Learn how to solve limits by direct substitution problems step by step online.

$\lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right)$

Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(3)lim((x^2+1*-8x+7)/(x^3+1*-3x+2)). Simplifying. We can factor the polynomial x^3-3x+2 using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals 2. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial x^3-3x+2 will then be.

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