Find $\lim_{x\to 1}\frac{p}{1-x^p}-\frac{q}{1-x^q}$ Find $\lim_{x\to 1}(\frac{p}{1-x^p}-\frac{q}{1-x^q})$

My attempt:
I took LCM and applied lhospital but not getting the answer.Please help

Hint: write your term in the form
$$\frac{p(1-x^q)-q(1-x^p)}{(1-x^p)(1-x^q)}$$ and use L'Hospital. the result is $$\frac{1}{2}(p-q)$$
