Home
Class 12
MATHS
lim (xto oo) (sqrt(x^2+x+1)-sqrt(x^2+1))...

`lim _(xto oo) (sqrt(x^2+x+1)-sqrt(x^2+1))=`

Text Solution

Verified by Experts

The correct Answer is:
`=1/2`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|40 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

lim _(xrarr oo) (sqrt(x^2+x+1)-sqrt(x^2+1))=

The value of lim_(x to oo) (sqrt(x^2+1)-sqrt(x^2-1)) is

lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^2+1))

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

lim_ (x rarr oo) (sqrt (x + 1) -sqrt (x))

Prove that: lim_(x rarr oo)x(sqrt(x^(2)+1)-sqrt(x^2-1))) = 1

lim_(x to oo) (sqrt(x + 1) - sqrt(x)) equals

For agt0, let l=lim_(xto(pi)/2)(a^(cotx)-a^(cosx))/(cotx-cosc) and m=lim_(xto-oo)(sqrt(x^(2)+ax))-(sqrt(x^(2)-ax)) then

lim_(x->oo) (x-sqrt(x^2-1))

lim_(x rarr oo)(sqrt(x+1)-sqrt(x))