Home
Class 12
MATHS
The largest value of the non-negative in...

The largest value of the non-negative integer a for which
`underset(x rarr 1)lim {(-ax + sin(x-1) + a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))= (1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
2
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CALCULUS

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2015)|1 Videos

  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

The largest value of the non-negative integer a for which lim_(xrarr1){(-ax+sin(x-1)+a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrtx)}= 1/4

The largets value of non negative integer for which lim_(x->1){(-a x+sin(x-1)+a)/(x+sin(x-1)-1)}^((1-x)/(1-sqrt(x)))=1/4

Knowledge Check

  • underset(xrarr 0)"lim"(sin^(-1)x)/(x) =

    A
    4
    B
    3
    C
    2
    D
    1

  • underset(x rarr 1)lim (x^(3)-1)/(x^(2)-1) =

    A
    `(2)/(3)`
    B
    `(3)/(2)`
    C
    1
    D
    does not exists

  • underset(xrarr1)"lim"(x-1)/(sqrt(x)-1)= ?

    A
    2
    B
    1
    C
    0
    D
    3

    • Similar Questions

    Explore conceptually related problems

    Evaluate : underset(xrarr0)"lim"(sin^(-1)x)/(2x)

    Prove : underset(xrarr0)"lim"(tan^(-1)x-x)/(sin^(-1)x)=1

    Evaluate : underset(x rarr - 1)lim (x+1)/(4sqrt(x+17)-16)

    Prove that underset(x rarr 0)lim (log(1+x)+sinx)/(e^x-1) =2

    Evaluate : underset(xrarr1)"lim"sin(2x^(2)-x-1) .

    Home
    Profile