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Factor the polynomial $x^3-9x$ by it's greatest common factor (GCF): $x$
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$\lim_{x\to3}\left(\frac{x\left(x^2-9\right)}{x^2-3x}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(3)lim((x^3-9x)/(x^2-3x)). Factor the polynomial x^3-9x by it's greatest common factor (GCF): x. Factor the polynomial x^2-3x by it's greatest common factor (GCF): x. Simplify the fraction . If we directly evaluate the limit \lim_{x\to 3}\left(\frac{x^2-9}{x-3}\right) as x tends to 3, we can see that it gives us an indeterminate form.