Home
Class 12
MATHS
Evaluate lim(x to 3) (sqrt(x + 3) - sqr...

Evaluate `lim_(x to 3) (sqrt(x + 3) - sqrt(6))/(x^(2) - 9)`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(12sqrt(6))`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise SECTION - A|50 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - B|34 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Example|41 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(x to 0) (sqrt(x + 2) - sqrt(2))/(x)

Evaluate lim_(x to a) (sqrt(x) + sqrt(a))/(x + a)

Evaluate lim_(x to 0) (sqrt(1+x^(3))-sqrt(1-x^(3)))/(x^(2))

lim_(x rarr3)(sqrt(x+3)-sqrt(6))/(x^(2)-9)=

Evaluate: lim_(x to2)(sqrt(x^(3)-x-3)-sqrt(x+1))/(x-2)

Evaluate lim_(x to 2) (sqrt(3 - x) - 1)/(2 - x)

Evaluate lim_(x to a) (sqrt(4a+3x)-sqrt(x+6a))/(sqrt(2a+5x)-sqrt(3a+4x))

Evaluate lim_(x rarr 3) ((3 - sqrt(6+x)))/(x-3) .

Evaluate the following limit: (lim)_(x rarr3)(sqrt(x+3)-sqrt(6))/(x^(2)-9)

lim_(x rarr3)(sqrt(x)-sqrt(3))/(sqrt(x^(2)-9))