Question

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 $|x - 1|$ at $x = 1$. If $\displaystyle \lim_{x \to 1^{+}} \, g(x) = p$ , then

• A. $n = 1, m = 1$
• B. $n = 1, m = - 1$
• C. $n = 2, m = 2$
• D. $n > 2, m = n$

Answer 1

Answer: (C)

$n = 2, m = 2$

Answer 2

Answer (c) $n = 2, m = 2$