# Thread: limit that represents derivative of a function

1. ## limit that represents derivative of a function

The question states: "The following limit represents the derivative of a function f(x) at the point $x = x_0$

$\mathop{\lim }\limits_{x \to 1} \frac{{x^9 - 1}}{{x - 1}}$

The function and point respectively are?

Can someone pleae advise on where I start here? thanks

2. Originally Posted by Craka
The question states: "The following limit represents the derivative of a function f(x) at the point $x = x_0$

$\mathop{\lim }\limits_{x \to 1} \frac{{x^9 - 1}}{{x - 1}}$

The function and point respectively are?

Can someone pleae advise on where I start here? thanks
You should know that $\lim_{x \rightarrow a} \frac{f(x) - f(a)}{x-a} = f'(a)$.