Answer
17
Work Step by Step
$\lim\limits_{x \to 1}\frac{x^{17}-1}{x-1}$
This is an expression for the derivative of $f(x) = x^{17}$ evaluated at the point $x = 1$
We can evaluate the derivative:
$f(x) = x^{17}$
$f'(x) = 17x^{16}$
$f'(1) = 17(1)^{16}$
$f'(1) = 17$
