Question
Each limit represents the derivative of some function $f$ at some number $a$. State such an $f$ and $a$ in each case.$\lim _{x \rightarrow 5} \frac{2^x-32}{x-5}$
Step 1
The limit given is of the form \(\lim_{x \to a} \frac{f(x) - f(a)}{x - a}\), which is the definition of the derivative \(f'(a)\). Show more…
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