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Let g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0...

Let `g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0 lt x lt 2` ,m and n and let p be the left hand derivative of `|x - 1|` at `x = 1`. If `lim_(x->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`

A

`n=1, m=1`

B

`n=1, m-1`

C

`n=2, m=2`

D

`n gt 2, m =n`

Text Solution

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The correct Answer is:
C
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