Home
Class 11
MATHS
If lim(x->a)(x^9-a^9)/(x-a)=\ lim(x->5)(...

If `lim_(x->a)(x^9-a^9)/(x-a)=\ lim_(x->5)(4+x)` find all possible values of `adot`

Text Solution

AI Generated Solution

To solve the limit problem, we need to evaluate the expression given in the question step by step. ### Step 1: Set Up the Equation We start with the equation given in the problem: \[ \lim_{x \to a} \frac{x^9 - a^9}{x - a} = \lim_{x \to 5} (4 + x) \] ...
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 rarr3)(x^(2)-9)/(x-3)

If (lim)_(x rarr a)(x^(3)-a^(3))/(x-a)=(lim)_(x rarr1)(x^(4)-1)/(x-1) find all possible value o a .

If x^(3)=9x , then find all possible values of x :-

If lim_(x rarr4)(f(x)-5)/(x-2)=1 then lim_(x rarr4)f(x)=

lim_(x->0) (tanx-sinx)/x^n (n in N) exists then sum of all possible values of n is

lim_(x rarr5)(x^(2)-9x+20)/(x-[x])

If lim_(x rarr a) (x^(7)-a^(7))/(x-a)=7 , then find the number of possible real values of a.

If lim_(x rarr a) (x^(5)-a^(5))/(x-a)=5 , then find the sum of the possible real value of a.

If (lim)_(x rarr-a)(x^(9)+a^(9))/(x+a)9, find the real value of a.

lim_(x rarr3)(x^(3)-27)/(x^(2)-9)

RD SHARMA-LIMITS-All Questions
  1. If lim(x->a) (x^5-a^5)/(x-a)=5, then find the sum of theIf lim-possi...

    Text Solution

    |

  2. If lim(x->a) (x^5-a^5)/(x-a)=5, then find the sum of theIf lim-possi...

    Text Solution

    |

  3. If lim(x->a)(x^9-a^9)/(x-a)=\ lim(x->5)(4+x) find all possible values ...

    Text Solution

    |

  4. If lim(x->a)(x^3-a^3)/(x-a)=lim(x->1)(x^4-1)/(x-1) , find all possible...

    Text Solution

    |

  5. Evaluate : lim(x->oo)(a x^2+b x+c)/(dx^2+e x+f)dot

    Text Solution

    |

  6. Evaluate the following limit: lim(x->oo)((3x-1)(4x-2))/((x+8)(x-1))

    Text Solution

    |

  7. Evaluate the following limit: lim(x->oo)(5x^3-6)/(9+4x^3 )\

    Text Solution

    |

  8. Evaluate the following limit: lim(x->oo)sqrt(x+1)-sqrt(x)

    Text Solution

    |

  9. Evaluate lim(x->oo) (3x^3-4x^2+6x-1)/(2x^3+x^2-5x+7)

    Text Solution

    |

  10. Evaluate the following limit: lim(x->oo)sqrt(x^2+7x)-x

    Text Solution

    |

  11. Evaluate the following limit: lim(n->oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!...

    Text Solution

    |

  12. Evaluate the following limit: lim(n->oo){sqrt(x+1)-sqrt(x)}sqrt(x+2)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |