For a differentiable function $f: \mathbb{R} \rightarrow \mathbb{R}$, $$f'(x) = 2x^{2} - 1, \quad f(2) = 4$$ Given this, what is the value of the limit $\displaystyle\lim_{x \rightarrow 2} \frac{f(x)-4}{x-2}$? A) 3 B) 4 C) 5 D) 6 E) 7
For a differentiable function $f: \mathbb{R} \rightarrow \mathbb{R}$,
$$f'(x) = 2x^{2} - 1, \quad f(2) = 4$$
Given this, what is the value of the limit $\displaystyle\lim_{x \rightarrow 2} \frac{f(x)-4}{x-2}$?
A) 3\\
B) 4\\
C) 5\\
D) 6\\
E) 7