Let g(x) = ((x-1)^n)/(logcos^m(x-1)); 0 0 and let p be the left hand derivative of |x-1| at x = 1. If lim_x → 1^- g(x) = p, then

Let g(x) = ((x-1)^n)/(logcos^m(x-1)); 0 0 and let p be the… — JEE Main 2008 Mathematics PYQ

AIEEE 2008

Let

g(x) = \dfrac{(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|

x = 1

. If

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

, then

Show answer

Correct option: C

[AIEEE 2008]

Practise Limits Continuity and Differentiability the way it is asked

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