Home
Class 11
MATHS
lim(x->oo)(x^4+7x^3+46 x+a)/(x^4+6) wher...

`lim_(x->oo)(x^4+7x^3+46 x+a)/(x^4+6)` where a is `a` non-zero real number.

Text Solution

Verified by Experts

`lim_(x->infty) (x^4+7x^3+46 x+a)/(x^4+6)`
`= lim_(x->infty) (x^4(1+7/x+46/ x^3+a/x^4))/(x^4(1+6/x^4))`
`=lim_(x->infty) (1+7/x+46/ x^3+a/x^4)/ (1+6/x^4)`
`=1`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA|Exercise Solved Examples And Exercises|114 Videos

  • LINEAR INEQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|163 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr oo)(x^(4)+7x^(3)+46x+a)/(x^(2)+6) where a is a

If lim_(x to 0) ({(a-n)nx - tan x} sin nx)/x^(2) = 0 , where n is non-zero real number, then a is equal to

Let f(x)=int_(-x)^(x)(t sin at + bt +c) dt, where a,b,c are non-zero real numbers , then lim_(x rarr0) (f(x))/(x) is

The integer ' n ' for which lim_(x->0)((cos x-1)(cos x-e^x))/(x^n) is a finite non-zero number, is a.1 b. 2 c. 3 d. 4

For a certain value of 'c' lim _(x to oo) [(x ^(5) +7x^(4)+2 )^(c ) -x] is finite and non-zero. Then the value of limit is :

lim_(x->0)(1+(asinb x)/(cosx))^(1/x), where a,b are non zero constants is equal to :

The number of real roots of the equation |[a, a,x],[b, x, b], [x,x,x]|=0 where a and b are distinct non-zero real numbers, is

If lim_(x rarr oo)((x+a)/(x-a))^(x)=e where ais some real constant then the value of a is equal to

lim_(x rarr oo)(4+(3)/(x^(2)))=

RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: lim(n->oo)(1/(n^2)+2/(n^2)+3/(n^2)++(n-1...

    Text Solution

    |

  2. Evaluate the following limit: lim(n->oo)(1^3+2^3+ n^3)/((n-1)^4)

    Text Solution

    |

  3. lim(x->oo)(x^4+7x^3+46 x+a)/(x^4+6) where a is a non-zero real number.

    Text Solution

    |

  4. Evaluate the following limit: lim(x->-oo)(sqrt(x^2-8x)+x)

    Text Solution

    |

  5. Evaluate the following limit: lim(x->oo)(sqrt(x^2+a^2)-sqrt(x^2+b^2))/...

    Text Solution

    |

  6. lim(n->oo)(1^2+2^2+3^2+..........+n^2)/n^3

    Text Solution

    |

  7. lim(n->oo)(1^2+2^2+3^2+..........+n^2)/n^3

    Text Solution

    |

  8. Evaluate the following limit: lim(x->0)(x^2)/(sin x^2)

    Text Solution

    |

  9. Evaluate the following limit: lim(x->0)(sinxcosx)/(3x)

    Text Solution

    |

  10. Evaluate the following limit: lim(x->0)(3sin x-4sin^3x)/x

    Text Solution

    |

  11. lim(x->0)(tanm x)/(tann x)

    Text Solution

    |

  12. Evaluate the following limit: (lim)(x->0)(sinx^0)/(x^0)

    Text Solution

    |

  13. Evaluate the following limit: (lim)(x->0)(cos a x-cos b x)/(cosc x-cos...

    Text Solution

    |

  14. Evaluate the following limit: (lim)(x->0)(1-cosm x)/(x^2)

    Text Solution

    |

  15. Evaluate the following limit: (lim)(x->0)(cos3x-cos7x)/(x^2)

    Text Solution

    |

  16. Evaluate the following limit: (lim)(x->0)(xcosx+2\ sin x)/(x^2+tanx)

    Text Solution

    |

  17. Evaluate the following limit: (lim)(x->0)(5xcosx+3sinx)/(3x^2+tanx)

    Text Solution

    |

  18. Evaluate the following limit: (lim)(x->0)(sin5x-sin3x)/(sinx)

    Text Solution

    |

  19. Evaluate lim(x-> 0) (tan3x-2x)/(3x- sin^2 x)

    Text Solution

    |

  20. lim(x->0)(1-cos2x+tan^2x)/(xsinx)

    Text Solution

    |