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Exercise

$\lim_{x\to5}\left(\frac{x^2-25x}{x^3-25x}\:\right)$
1

Factor the polynomial $x^2-25x$ by it's greatest common factor (GCF): $x$

$\lim_{x\to5}\left(\frac{x\left(x-25\right)}{x^3-25x}\right)$
2

Factor the polynomial $x^3-25x$ by it's greatest common factor (GCF): $x$

$\lim_{x\to5}\left(\frac{x\left(x-25\right)}{x\left(x^2-25\right)}\right)$
3

Simplify the fraction $\frac{x\left(x-25\right)}{x\left(x^2-25\right)}$ by $x$

$\lim_{x\to5}\left(\frac{x-25}{x^2-25}\right)$

Final answer to the exercise

$\lim_{x\to5}\left(\frac{x-25}{x^2-25}\right)$

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