Home
Class 12
MATHS
Evaluate underset(x rarr oo)(lim) (1 + x...

Evaluate `underset(x rarr oo)(lim) (1 + x)^((1)/(log x))`

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 7.1|15 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 7.2|13 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate underset(x rarr 0)(lim) x^(3) log x

Evaluate the following limits, if necessary use 1'Hopital Rule: underset(x rarr oo)(lim) (x)/(log x)

Evaluate underset(x rarr 1)(lim) x^((1)/(x-1))

Evaluate: underset(x rarr oo)(lim) (x^((1)/(2)) -2 tan^(-1) ((1)/(x)))/(((1)/(x)))

Evaluate underset(x rarr 0)(lim) (tan^(-1)x)/(x)

underset(x rarr oo)(lim) (x^(2))/(e^(x)) is

Evaluate: underset(x rarr 2)(lim) (sin pi x)/(2 -x)

Evaluate: underset(xrarrinfty)lim(1+2x)

Find underset(x rarr oo)(lim) (sin (1/x))/(tan(1/x))

PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Answer the following question)
  1. Evaluate underset(x rarr oo)(lim) (1 + x)^((1)/(log x))

    Text Solution

    |

  2. The angular displacement theta radians of a fly wheel varies with time...

    Text Solution

    |

  3. The distance s meters moved by a particle travelling in a straight lin...

    Text Solution

    |

  4. A particle moves along a horizontal line such that its position at any...

    Text Solution

    |

  5. A particle moves along a horizontal line such that its position at any...

    Text Solution

    |

  6. A particle moves along a horizontal line such that its equation of mot...

    Text Solution

    |

  7. A missile fixed from ground level raises x metres vertically upwards ...

    Text Solution

    |

  8. A missile fixed from ground level raises x metres vertically upwards ...

    Text Solution

    |

  9. A missile fixed from ground level raises x metres vertically upwards ...

    Text Solution

    |

  10. A missile fixed from ground level raises x metres vertically upwards ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A particle is fired straight up from the ground to each a height of x ...

    Text Solution

    |

  14. Find the equation of tangent and normal to the curve y = x^(2) + 3x + ...

    Text Solution

    |

  15. For what value of x the tangent of the curve y = x^(3) - 3x^(2) + 2x -...

    Text Solution

    |

  16. Find the angle between the curves, (x^(2))/(8) + (y^(2))/(2) = 1 and (...

    Text Solution

    |

  17. Find the equation of the tangent to the curve x^(2) + y^(2) = 5^(2) wh...

    Text Solution

    |

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

    Text Solution

    |

  19. Verify Rolle's theorem for f(x) = sqrt(1 -x^(2)), -1 le x le 1

    Text Solution

    |

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

    Text Solution

    |

  21. Verify mean value theorem for the function f(x) = x^(3) - 5x^(2) 2x i...

    Text Solution

    |