Home
Class 12
MATHS
The value of lim(x->0)(1-1/2^x)(1/(sqrt(...

The value of `lim_(x->0)(1-1/2^x)(1/(sqrt(tanx+4)-2))`

A

` log_(a) 16`

B

Cannot exist

C

3l n2

D

4 ln 2

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - C ( More than one options are correct )|5 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - D|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Assignment ( section -A)|61 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(x rarr0)(1-(1)/(2^(x)))((1)/(sqrt(tan x+4)-2))

The value of lim_(xto 0)(e-(1+x)^(1//x))/(tanx) is

Knowledge Check

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

    A
    3
    B
    4
    C
    1
    D
    2
  • The value of lim_(x to oo)((1+3x)/(2+3x))^((1-sqrt(x))/(1-x)) is

    A
    0
    B
    `-1`
    C
    `e`
    D
    `1`
  • lim_( x to 0) (2^(x)-1)/(sqrt(1+x)-1)=

    A
    2
    B
    `log_(e )2`
    C
    `(log_(e )2)/(2)`
    D
    `2log_(e )2`
  • Similar Questions

    Explore conceptually related problems

    lim_(x->0)(e^(x)-1)/(sqrt(4+x)-2) =

    The value of lim_(x->0)((sinx-tanx)^2-(1-cos2x)^4+x^5)/(7(tan^(- 1)x)^7+(sin^(- 1)x)^6+3sin^5x) equal to :

    The value of lim_(x to 0) (sqrt(x^2+1)-1)/(sqrt(x^2+16)-4) is

    The value of lim_(xto0^(+))(-1+sqrt((tanx-sinx)+sqrt((tanx-sinx)+sqrt((tanx-sinx)+…oo))))/(-1+sqrt(x^(3)+sqrt(x^(3)+sqrt(x^(3)+…oo)))) is

    The value of lim_(x to 0) (sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3) is equal to: