Home
Class 11
MATHS
Evaluate, lim(xtosqrt(2)) (x^(4)-4)/(x^7...

Evaluate, `lim_(xtosqrt(2)) (x^(4)-4)/(x^7(2)+3sqrt(2x)-8)`.

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to \sqrt{2}} \frac{x^4 - 4}{x^7(2) + 3\sqrt{2}x - 8}, \] we will follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR|Exercise LONG ANSWER TYPE QUESTIONS|11 Videos

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|23 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR|Exercise Fillers|16 Videos

  • LINEAR INEQUALITIES

    NCERT EXEMPLAR|Exercise Objective Type Questions|14 Videos

Similar Questions

Explore conceptually related problems

Evaluate, lim_(x to 2) (x^(3) - 8)/(x^(2) - 4)

lim_(x rarr sqrt(2)) ((x^2 - 4)/(x^2 + 3sqrt(2)x - 8))

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

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

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

lim_(xrarr2) (x^(3)-8)/(x^(2)-4)

(2) lim_(xtooo)sqrt(x^(2)+4)/(x+3)

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

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

lim_(x rarr2)(x^(3)-8)/(x^(2)-4)