Question
Find $\lim _{x \rightarrow 2}[f(x)-f(2)] /(x-2)$ for each given function $f .$$$f(x)=\begin{array}{l}3 \\x^{2}\end{array}$$
Step 1
Step 1: Substitute $f(x)$ with its expression $x^2$ and $f(2)$ with its value $2^2=4$ into the limit: $$\lim _{x \rightarrow 2}\frac{f(x)-f(2)}{x-2} = \lim _{x \rightarrow 2}\frac{x^2-4}{x-2}$$ Show more…
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