Home
Class 12
MATHS
Evaluate the following:lim(xtoinfty)(x^3...

Evaluate the following:`lim_(xtoinfty)(x^3+2x^2+3)/(x^4-3x^2+1)`

Text Solution

Verified by Experts

`lim_(xtoinfty)(x^3+2x^2+3)/(x^4-3x^2+1)`
`lim_(xtoinfty)(1/x+2/x^2+3/x^4)/(1-3/x^2+1/x^4)=0/1=0`
``[thereforeAs` `xtoinfty, 1/xto0]`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|88 Videos
  • LINEAR INEQUALITIES

    MBD PUBLICATION|Exercise QUESTION BANK|46 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: lim_(xtoinfty) sinx/x

Evaluate the following: lim_(xtoinfty)(x^4-5x+2)/(x^3-3x+1)

Evaluate the following: lim_(xtoinfty)(2x+1)/(3x-2)

Evaluate the following: lim_(xtoinfty)(x^3/(2x^2-1)-x^2/(2x+1))

Evaluate the following: lim_(xtoinfty) sin(1/x)

Evaluate the following: lim_(xtoinfty)(3x^2+x-1)/(2x^2-7x+5)

lim_(xtoinfty)(x^2-x)/([x^2-x]

Evaluate the following: lim_(xtoinfty)e^x(a^(1/x)-1)

Evaluate the following lim_(xto0)((3+x)^3-27)/x

Evaluate the following lim_(xto2)(x^3-8)/(x^5-32)