Home
Class 12
MATHS
If underset( x rarr oo) ( "lim") (( x^(2...

If `underset( x rarr oo) ( "lim") (( 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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    MOTION|Exercise EXERCISE-3|57 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

Similar Questions

Explore conceptually related problems

underset( x rarr oo) ( "Lim") ((x+ 2)/( x-2))^(x+1)=

underset( x rarr 1 ) ("lim") (1-x)/( 1-x^(2))=

underset x rarr oo lim_ (x rarr oo) ((x ^ (2) +1) / (x + 1) -ax-b) = 0 then find

Evaluate underset( x rarr oo) ( "Lim") x - x^(2) ln ( 1+ ( 1)/( x))

Evaluate underset( x rarr oo) ( "lim") ( pi - 2 tan^(-1) x ) ln x

Evaluate underset( x rarr oo )("lim") ( sqrt( 3x^(2) - 1) - sqrt( 2x ^(2) - 1))/( 4x + 3)

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

Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(2n)) then find underset( x rarr -oo)("Lim") f(x)

"lim_(x rarr oo)(1)/(x^(2))

lim_ (x rarr oo) (sqrt (x ^ (2) + ax + b) -x) =

MOTION-LIMIT-EXERCISE-4
  1. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then u...

    Text Solution

    |

  2. underset( x rarr 2 ) ( "lim") (( sqrt( 1- cos { 2 ( x - 2)}))/( x - 2...

    Text Solution

    |

  3. underset( x rarr 0 ) ( "lim")( (1- cos 2x) ( 3 + cos x ))/( x tan 4x) ...

    Text Solution

    |

  4. (lim)(xvec0)(sin(picos^2x))/(x^2) is equal to (1) pi/2 (2) 1 (3) ...

    Text Solution

    |

  5. Let p = underset( x to 0^(+)) lim(1 + tan^(2) sqrt(x))^(1//2x) , th...

    Text Solution

    |

  6. lim(x->pi/2)(cotx-cosx)/((pi-2x)^3)

    Text Solution

    |

  7. For each t in R let [t] be the greatest integer less than or equal to ...

    Text Solution

    |

  8. For x gt 0 , underset( x rarr 0) ( "Lim") [ ( sin x)^(1//x) + ((1)/( x...

    Text Solution

    |

  9. Let L = lim(x rarr 0) ( a - sqrt( a^2 - x^2) - x^2/4)/x^4, a>0.If L is...

    Text Solution

    |

  10. If underset( x to 0) lim [1+x log (1+b^(2))]^(1/x) = 2b sin^(2) the...

    Text Solution

    |

  11. If underset( x rarr oo) ( "lim") (( x^(2) + x+ 1)/(x+1) -ax -b) = 4, t...

    Text Solution

    |

  12. Let alpha(a) and beta(a) be the roots of the equation {(a+1)^(1//3)-1}...

    Text Solution

    |

  13. The largest value of non-negative integer a for which underset( x rarr...

    Text Solution

    |

  14. Let m and n be the two positive integers greater than 1 . If underset(...

    Text Solution

    |

  15. Let alpha, beta in R such that lim(x ->0) (x^2sin(betax))/(alphax-sin...

    Text Solution

    |

  16. Let f(x) = ((1 - x(1+ |1-x | )) /(|1-x|)) cos(1/(1-x)) for x!=1

    Text Solution

    |

  17. Let f: R rarr R be a differentiable function with f(0)=0. If y=f(x) ...

    Text Solution

    |