Home
Class 11
MATHS
lim(xrarr4) (4x+3)/(x-2)...

`lim_(xrarr4) (4x+3)/(x-2)`

Text Solution

AI Generated Solution

To solve the limit \( \lim_{x \to 4} \frac{4x + 3}{x - 2} \), we will follow these steps: ### Step 1: Substitute the value of \( x \) We start by substituting \( x = 4 \) into the function \( \frac{4x + 3}{x - 2} \). \[ \frac{4(4) + 3}{4 - 2} \] ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX -13.2|11 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|30 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13H|9 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|14 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr4)(2x+3)/(x-2)

lim_(xrarr3) x+3

lim_(xrarr0) (sin 3x)/x

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

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

lim_(xrarr0)(4^x-1)/(3^x-1) equals

For x in R , lim_(xrarr oo) ((x-3)/(x+2))^x =

lim_(xrarr0) (sin 3 x)/(2x)

lim_(xrarr0) (x^(2)-3x+2)

Let L_(1)=lim_(xrarr4) (x-6)^(x)and L_(2)=lim_(xrarr4) (x-6)^(4) . Which of the following is true?