Home
Class 11
MATHS
lim(xrarr0) (sqrt(1+x)-1)/(x)=?...

`lim_(xrarr0) (sqrt(1+x)-1)/(x)=?`

A

`(1)/(2)`

B

1

C

`(3)/(2)`

D

2

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13H|9 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX -13.1|32 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13F|20 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|14 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr0) (3sqrt(1+x-1))/(x)

lim_(xrarr0) (2x)/(sqrt(1+x)-1)

Knowledge Check

  • lim_(xrarr0)(cos (sinx)-1)/(x^2)=

    A
    1
    B
    -1
    C
    `1//2`
    D
    `-1//2`

  • lim_(xrarr0)(sqrt(1+x)-sqrt(1-x))/x is equal to

    A
    0
    B
    1
    C
    `-1`
    D
    `oo`

  • The value of lim_(xrarr0)(sqrt(x^+1)-1)/(sqrt(x^2+9)-3) , is

    A
    3
    B
    4
    C
    1
    D
    2

    • Similar Questions

    Explore conceptually related problems

    lim_(xrarr0) (sqrt(1+x+x^(2))-1)/(x)

    lim_(xrarr0) ((x+1)^(5)-1)/(x)

    Prove that lim_(xrarr0) ((1+x)^(n) - 1)/(x) = n .

    Evaluate the following limits: lim_(xrarr0)((sqrt(1+x+x^(2))-1)/(x))

    Evaluate : lim_(xrarr0) (sqrt(1+x)-sqrt(1-x))/( x)

    Home
    Profile