Question
Find the indicated limit. In most cases, it will be wise to do some algebra first (see Example 2).$$\lim _{x \rightarrow 3} \frac{x^{4}-18 x^{2}+81}{(x-3)^{2}}$$
Step 1
The numerator $x^{4}-18 x^{2}+81$ can be rewritten as $(x^{2}-9)^{2}$. Show more…
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