Question

Write the value of $\underset{x\to c}{\lim }\frac{f\left(x\right)-f\left(c\right)}{x-c}$.

Answer 1

$$\begin{gathered} \text{Using the definition of derivative, we have:} \\ \underset{x\to c}{\lim }\frac{f\left(x\right)-f\left(x\right)}{x-c}=f\text{'}\left(c\right) \end{gathered}$$