Home
Class 12
MATHS
Find the limits : lim(xrarr1){(x^2+x+1...

Find the limits :
`lim_(xrarr1){(x^2+x+1)/(x^3+1)}`

Text Solution

AI Generated Solution

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

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|31 Videos
  • LOGARITHM

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|29 Videos

Similar Questions

Explore conceptually related problems

Find the limits : lim_(xrarr1){(x-1)/(x^2+1)}

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

Find the limits : lim_(xrarr3) {(x^2-3x+9)/(x^2-9)}

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

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

Find the following limits : lim_(xrarr3) (x^2+x+1)

Find the following limits : lim_(xrarr1) {(x^(1/5)-1)/(x^(1/100)-1)}

Find the following limits : lim_(xrarr2) {(x-1)(x^2-x+1)}

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

Find the limits : lim_(xrarr0){(sqrt(x-1)-sqrt(1-x))/x}