Home
Class 11
MATHS
Evaluate lim(xrarr2){((x^(2)-4))/(sqrt(3...

Evaluate `lim_(xrarr2){((x^(2)-4))/(sqrt(3x-2)-sqrt(x+2))}.`

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to 2} \frac{x^2 - 4}{\sqrt{3x - 2} - \sqrt{x + 2}}, \] we can follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27A|40 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27B|72 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27C|15 Videos

  • HYPERBOLA

    RS AGGARWAL|Exercise EXERCISE 24|23 Videos

  • LINEAR INEQUATIONS (IN ONE VARIABLE)

    RS AGGARWAL|Exercise EXERCISE 6B|12 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr2) (x^(2)-4)/(sqrt(x+2)-sqrt(3x-2))

lim_(x rarr2)(x^(2)-4)/(sqrt(x+2)-sqrt(3x-2))

Evaluate: lim_(xrarr2) (x^(2)-4)/(x-2)

Evaluate lim_(x to 20) (x^(2)-4)/((sqrt(3x)-2)-(sqrt(x)+2))

Evaluate the following limits: lim_(xrarr2)((x^(2)-4)/(sqrt(x+2)-sqrt(3x-2)))

lim_(x rarr2)(x^(3)-8)/(sqrt(x^(2)+x+2)-sqrt(3x+2))

lim_(x rarr2)(x-2)/(sqrt(x+2)-sqrt(3x-2))

Evaluate the following: lim_(xrarr2)(x^2-4)/(sqrt(3x-2)-sqrt(6-x))

Evaluate lim_(xrarr2)((e^(x)-e^(2))/(x-2)).

Evaluate :lim_(x rarr2a^(+))(sqrt(x-2a)+sqrt(x)-sqrt(2a))/(x^(2)-4a^(2))