This is LaTeX code:

[latex]
 + \frac{1}{{n - 2}}\mathop {\lim }\limits_{x \to 1 - } \sum\limits_{k = 1}^{n - 2} {\left( \begin{array}{c}
 n - 2 \\ 
 k \\ 
 \end{array} \right)\frac{{\left( {x - 1} \right)^k }}{k}} - \mathop {\lim }\limits_{x \to 1 - } \frac{{x^{n - 1} }}{{n - 1}}
[/latex]