Hey guys,

I've got a big test on friday and I was working out a past paper.

I would appreciate it if you could show all the steps.

The question is as follows:

$\displaystyle \mathop {\lim }\limits_{x \to 1} \frac{{x^{17} - 1}}

{{x - 1}}

$

There is a tip saying: "Think of a derivative".

And the memo only says:

$\displaystyle f'(1) = 17$

I have no idea how they got that answer.

Thanks in advance.