Let
$$g(x) = \frac{(x - 1)^n}{\log \cos^m (x - 1)};0 < x < 2$$, m and n are integers, $$m \neq 0, n > 0$$, and let p be the left hand derivative of $$\mid x - 1 \mid$$ at x=1.
If $$\lim_{x \rightarrow 1+}g(x) = p$$, then

A

n = 1, m = 1

B

n = 1, m = -1

C

n = 2, m = 2

D

n > 2, m = n