Home
Class 12
MATHS
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

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 3 | Subjective | JEE Advanced|10 Videos
  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos
  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos

Similar Questions

Explore conceptually related problems

If lim_(x rarr0)(1-cos(1-cos((x)/(2))))/(2^(m)x^(n)) is equal to the left hand derivative of f(x)=e^(-(|x|)) at x=0, then the value of |n+m| is

If f(x) = log ((m(x))/(n(x))), m(1) = n(1) = 1 and m'(1) = n'(1) = 2, " then" f'(1) is equal to

int_(0)^(1)x^((m-1))(1-x)^((n-1))dx is equal to where m,n in N

If in the expansion f (1+x)^m(1-x)^n, the coefficient of x and x^2 are 3 and -6 respectively then (A) m=9 (B) n=12 (C) m=12 (D) n=9

lim_ (x rarr oo) ((1) / (n + m) + (1) / (n + 2m) + ... + (1) / (n + nm))

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to

If m, n in N , then l_(m n) = int_(0)^(1) x^(m) (1-x)^(n) dx is equal to

If |x|lt1 then coeficient oif x^n in expression of (1+x+x^2+x^2+……)^2 is (A) n (B) n-1 (C) n+2 (D) n+1

If [x] denotes the integral part of x and m= [|x|/(1+x^2)],n= integral values of 1/(2-sin3x) then (A) m!=n (B) mgtn (C) m+n=0 (D) n^m=0