Home
Class 11
MATHS
lim(x->3)(x^4-81)/(2x^2-5x-3)...

`lim_(x->3)(x^4-81)/(2x^2-5x-3)`

Text Solution

Verified by Experts

Given `lim_(x->3)(x^4-81)/(2x^2-5x-3)`
=`lim_(x->3)(x^4-3^4)/((x-3)(2x+1))`
on expanding the numerator
=`lim_(x->3)((x-3)(x+3)(x^2+9))/((x-3)(2x+1))`
...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT|Exercise SOLVED EXAMPLES|25 Videos

  • LIMITS AND DERIVATIVES

    NCERT|Exercise MISCELLANEOUS EXERCISE|30 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise EXERCISE 12.1|4 Videos

  • LINEAR INEQUALITIES

    NCERT|Exercise EXERCISE 6.2|10 Videos

Similar Questions

Explore conceptually related problems

lim_(x-> 3) ((x^4 -81)/(x-3))

lim_(x-> 3) ((x^4 -81)/(x-3)) = ?

lim_(xrarr3) (x^(4)-81)/(2x^(2)-5x- 3)

Evaluate the following limit: (lim)_(x rarr3)(x^(4)-81)/(x^(2)-9)

lim_(xrarr3) ](x^(3)-27)/(2x^(2)-5x-3)

lim_(x-> -3)(2-sqrt(x^2-5))/(x+3)

Evaluate the following: lim_(xto1/3)(3x^2+5x-2)/(9x^2-1)

lim_(x rarr1)((3x-4)(sqrt(x)-1))/(2x^(2)+x-3)

lim_(x rarr 1) [(x+2)/(x^2-5x+4)+(x-4)/(3(x^2-3x+2))]

lim_(x rarr1)[(x+2)/(x^(2)-5x+4)+(x-4)/(3(x^(2)-3x+2))]