Mathematics

Problem

Let

g(x) = \frac{(x-1)^n}{\log \cos^m (x-1)}

0 < x < 2

, where

m

and

n

are integers,

m \neq 0

n > 0

, and let

p

be the left-hand derivative of

|x-1|

x=1

. If

\lim_{x \to 1^+} g(x) = p

, then a.

n=1, m=1

n=1, m=-1

n=2, m=2

n>2, m=n