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Limits Continuity and Differentiability question

2008 · Shift 1 · Q44

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2008 · Shift 1 · Q44

Limits Continuity and Differentiability question

2008 · Shift 1 · Q44

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMCQ+3 / −1

Let

g(x) = {{{{(x - 1)}^n}} \over {\log {{\cos }^m}(x - 1)}};0 0

, and let

p

be the left hand derivative of

|x - 1|

at

x = 1

. If

\mathop {\lim }\limits_{x \to {1^ + }} g(x) = p

, then

A
$n = 1,m = 1$
B
$n = 1,m = - 1$
C
$n = 2,m = 2$
D
$n \gt 2,m = n$

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