Home
Class 11
MATHS
Find the limits (i) lim(x->1)[(x^2+1)/(x...

Find the limits (i) `lim_(x->1)[(x^2+1)/(x+100)]` (ii) `lim_(x->2)[(x^3-4x^2+4x)/(x^2-4)]`

Text Solution

Verified by Experts

(i) `lim_(x->1)[(x^2+1)/(x+100)]` =`(1^2+1)/(1+100)=2/101`
(ii) `lim_(x->2)[(x^3-4x^2+4x)/(x^2-4)]`
=`lim_(x->2)(x(x^2-4x+4))/((x-2)(x+2))=lim_(x->2)(x(x-2)^2)/((x-2)(x+2))=0`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT|Exercise MISCELLANEOUS EXERCISE|30 Videos

  • LIMITS AND DERIVATIVES

    NCERT|Exercise EXERCISE 13.2|11 Videos

  • LIMITS AND DERIVATIVES

    NCERT|Exercise EXERCISE 13.3|8 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 rarr2)(x^(3)-4x^(2)+4x)/(x^(2)-4)

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

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

Find the limits : lim_(xrarr2){(x-2)/(x^2+4)}

Find the limits: lim_(x rarroo) ((x^2-2x+2)/(x^2-4x+1))^x

lim_(xrarr1)(x^2+3x-4)/(x-1)=?

lim_(x rarr2)(x^(2)+2x-1)/(x^(2)-4x+4)

Find the following limits. (i)" "lim_(xto2) (4x)/(x^(3)-3)" "(ii)" "lim_(xto1)(log_(10)x-3)/(3x-2)" "(iii)" "lim_(xto pi) (3+cosx)/(2-sinx)

Find the following limits : lim_(xrarr4) {(x-1)(x-2)(x-3)}