Question
Find the indicated limit, if it exists.$$\lim _{x \rightarrow-5} \frac{x^{2}-25}{x+5}$$
Step 1
The expression $x^{2}-25$ is a difference of squares, which can be factored into $(x-5)(x+5)$. So, the expression becomes: $$\frac{x^{2}-25}{x+5} = \frac{(x-5)(x+5)}{x+5}$$ Show more…
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