Home
Class 12
MATHS
Evaluate: underset(xrarr0)lim xlog x...

Evaluate: `underset(xrarr0)lim xlog x`

Text Solution

Verified by Experts

The correct Answer is:
`=0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.1|10 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.2|10 Videos

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos

Similar Questions

Explore conceptually related problems

Evaluate: underset(xrarr0)limx^x

Evaluate: underset(xrarr0)lim((log(1-x))/((x)))

Evaluate: underset (xrarr0) lim (cot x) ^(sin x)

underset (xrarr0)lim x^(x)

Evaluate: underset(x rarr 0)(lim) x^(sin x)

Evaluate: underset(xrarr0)lim((1)/(x)-(1)/(e^(x)-1))

Evaluate underset(x to 0)lim (cosec x - 1/x) .

underset(xrarr0)lim (cos x) /(x^(2))

Evaluate the limit underset(xrarr0) lim((sin x)/(x^(2)))

FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
  1. Evaluate: underset(xrarr0)lim xlog x

    Text Solution

    |

  2. A water tank has the shape of an invertd circular cone with base radiu...

    Text Solution

    |

  3. A car A is travelling from west at 50 km/hr and car B is travelling to...

    Text Solution

    |

  4. The distance x metres travelled by a vehicle in time t seconds after t...

    Text Solution

    |

  5. At a particular instant ship A is 100 km west of ship B, ship A is sai...

    Text Solution

    |

  6. Gravel is being duped from a conveyor belt at a rate of 30 ft^(3)//min...

    Text Solution

    |

  7. Prove that the sum of the intercepts on the co-ordinate axes of any ta...

    Text Solution

    |

  8. Find the equation of normal to y = x^(3) -3x that is parallel to 2x + ...

    Text Solution

    |

  9. Prove that the curves 2x^(2)+4y^(2)=1 and 6x^(2)-12y^(2)=1 cut each ot...

    Text Solution

    |

  10. Show that the equation of the normal to the curve x=a cos ^(3) theta, ...

    Text Solution

    |

  11. If the curve y^(2) = x and xy = k are orthogonal then prove that 8k^(2...

    Text Solution

    |

  12. Verify Rolle's theorem for the following f(x) = x^(3) -3x + 3 " in "...

    Text Solution

    |

  13. Suppose that f(0) = -3, and f' (x) le 5 for all values of x how large ...

    Text Solution

    |

  14. Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 w...

    Text Solution

    |

  15. Find 'C' of Lagrange's mean value theorem for the function f(x)=2x^(3)...

    Text Solution

    |

  16. Find 'C' of Lagrange's mean value theorem for the function f(x) =x^(3)...

    Text Solution

    |

  17. The Taylor's series expension of f(x)=sin x "about" x=(pi)/(2) is obta...

    Text Solution

    |

  18. Obatin the Maclaurin's series expansion for the following function . ...

    Text Solution

    |

  19. Evaluate underset(x rarr (pi)/(2))(lim) (log sin x)/((pi - 2x)^(2))

    Text Solution

    |

  20. Evaluate: underset (xrarr0) lim (cot x) ^(sin x)

    Text Solution

    |

  21. underset (x rarr infty) lim(log x^(x))/(x)

    Text Solution

    |