Home
Class 12
MATHS
If lim(xto oo){(x^2+1)/(x+1)-ax-b}=2, th...

If `lim_(xto oo){(x^2+1)/(x+1)-ax-b}=2`, then

Text Solution

Verified by Experts

The correct Answer is:
`a=1` and `b=-3`
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

If lim_(xrarr oo){(x^2+1)/(x+1)-ax-b}=2 , then

If lim_(xto oo)((x^(2)+1)/(x+1)-ax-b)=oo find a and b.

If lim_(x rarr oo){(x^(2)+1)/(x+1)-(ax+b)}=0, then find the value of a and b.

If lim_(x rarr oo)((x^(2)+x+1)/(x+1)-ax-b)=4 then a=?b=?

If lim_(x rarr oo)((x^(2)+x+1)/(x+1)-ax-b)=4,then(a)a=1,b=4( b) a=1,b=-4(c)a=2,b=-3(d)a=2,b=3

lim_(xto oo)(x/(1+x))^(x) is

lim_(x rarr oo)(x-2)/(x+1)=1

lim_(x rarr oo)(x-2)/(x+1)=1

If lim _(xto oo) (sqrt( x ^(2) -x+1)-ax -b)=0, then for k ge 2, (k in N ) lim _(xto oo) sec ^(2n) (k ! pi b ) =