Home
Class 12
MATHS
Evaluate: ("Lim")(x->1)(x^x-x)/(x-1-lnx)...

Evaluate: `("Lim")_(x->1)(x^x-x)/(x-1-lnx)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Evaluate: ("Lim")_(x->0)(1/x)^(tanx)

Evaluate: ("Lim")_(x->0^+)(cotx)^(1/(lnx))

Evaluate lim_(x rarr1)(x^(3)-1)/(x-1)

Evaluate lim_(x to 1) (x^3-1)/(x^2-1)

Evaluate : lim_(x->0) (1-cosx)/x

Evaluate : lim_( x->1 ) ( x^2 + 3 )

Evaluate: ("Lim")_(x->0^+)("c o s e c"x)^(1/(lnx))

Find ("lim")_(x->1^+)1/(x-1)dot

Evaluate lim_(x to 1) (x^(3) - 1)/(x - 1)

Evaluate : lim_(x to 0)(a^(x)-1)/(b^(x)-1) .

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: ("Lim")(x->0)(1+sinx-cosx+"ln"(1-x))/(xtan^2x) -1/2 (b)...

    Text Solution

    |

  2. Evaluate: ("Lim")(x->0)((log)(secx/2)(cosx))/((log)(secx)(cos(x//2))) ...

    Text Solution

    |

  3. Evaluate: ("Lim")(x->1)(x^x-x)/(x-1-lnx)

    Text Solution

    |

  4. Evaluate: ("Lim")(x->0)(1-cosx cos2x cos3x)/(x^2)

    Text Solution

    |

  5. Evaluate: ("Lim")(x->0)((cosa x)^(1//m)-(cosb x)^(1//n))/(x^2)

    Text Solution

    |

  6. Evaluate: ("Lim")(x->0^+)("c o s e c"x)^(1/(lnx))

    Text Solution

    |

  7. Evaluate: ("Lim")(x->pi//2)(secx)^(cotx)

    Text Solution

    |

  8. Evaluate: ("Lim")(x->0^+)(cotx)^(1/(lnx))

    Text Solution

    |

  9. Evaluate: ("Lim")(x->0)(1/x)^(tanx)

    Text Solution

    |

  10. Evaluate: ("Lim")(x->0)x^x

    Text Solution

    |

  11. Evaluate: ("Lim")(x->1)(1-x^2)^(1/(ln(1-x)))

    Text Solution

    |

  12. Evaluate: ("Lim")(x->4)(sqrt(2x+1)+sqrt(x-3)-4)/(sqrt((3x+4))+sqrt(5x+...

    Text Solution

    |

  13. Evaluate ("Lim")(x->pi/2)tanxlogsinx using Lhospitals Rule

    Text Solution

    |

  14. Evaluate ("Lim")(x->0)(logcosx)/x using Lhospitals Rule

    Text Solution

    |

  15. Evaluate ("Lim")(x->0)(2^x-1)/((1+x)^(1//2)-1) using Lhospitals Rule

    Text Solution

    |

  16. Evaluate ("Lim")(x->pi/4)(2-tanx)^(1/(ln(tanx))) using Lhospitals Rule

    Text Solution

    |

  17. If ("Lim")(x->a)(a^x-x^a)/(x^x-a^a)=-1 and a >0 , then find the value ...

    Text Solution

    |

  18. f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim(x->oo)f(x) is equal...

    Text Solution

    |

  19. Let f(x+y)=f(x)f(y) for all x and y . Suppose f(5)=2 and f^(prime)(0)=...

    Text Solution

    |

  20. Let f(x y)=f(x)f(y)\ AA\ x ,\ y in R and f is differentiable at x=1 s...

    Text Solution

    |