Home
Class 12
MATHS
The maximum value of (1/x)^x is...

The maximum value of `(1/x)^x` is

A

e

B

`e^e`

C

`e^(1//e)`

D

`(1/e)^(1//e)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2017

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2019

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The maximum value of ((1)/(x))^(2x^(2)) is :

The maximum value of (logx)/(x) is :

The maximum value of x e^(-x) is

The maximum value of (logx)/(x) in (2,oo) is

If tan^(-1)(x/pi)lt (pi)/(3) x in N then the maximum vlaue of x is

The maximum value of f(x) = x/(4+x+x^(2)) on [-2,2] is

The maximum value of f(x) = 2x^(3) -21 x^(2) +36x +20 in 0 le x le 2

The maximum value of f(x)=(x)/(1+4x+x^(2)) on [-1, 1] is :

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2018-MATHEMATICS
  1. If f(x)={{:((logex)/(x-1),,,x ne 1),(k,,,x=1):}is continuous at x = 1...

    Text Solution

    |

  2. Approximate change in the volume V of a cube of side x metres caused b...

    Text Solution

    |

  3. The maximum value of (1/x)^x is

    Text Solution

    |

  4. f(x) =x^x has stationary point is

    Text Solution

    |

  5. The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3...

    Text Solution

    |

  6. int1/(1+e^x)dx is equal to

    Text Solution

    |

  7. int1/(sqrt(3-6x-9x^2))dxis equal to

    Text Solution

    |

  8. inte^(sinx)((sinx+1)/(secx))dx

    Text Solution

    |

  9. int(-2)^2|x cospix|dx is equal to

    Text Solution

    |

  10. int0^1(dx)/(e^x+e^(-x)) is equal to

    Text Solution

    |

  11. int0^(1//2)(dx)/((1+x^2)sqrt(1-x^2)) is equal to

    Text Solution

    |

  12. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  13. The area bounded by the line y = x,x axis and ordinates x = -1 and x =...

    Text Solution

    |

  14. The degree and order of the differential equation (d^2y)/(dx^2)=root3(...

    Text Solution

    |

  15. The solution of the differential equation x(dy)/(dx)-y=3 represents is...

    Text Solution

    |

  16. The integrating factor of (dy)/(dx)+y=(1+y)/x is

    Text Solution

    |

  17. If |vecaxxvecb|^2+|veca.vecb|^2=144and |veca|=4, then the value of |ve...

    Text Solution

    |

  18. If veca and vecb are mutually perpendicular unit vectors , then (3veca...

    Text Solution

    |

  19. If the vectors ahati+hatj+hatk,hati+bhatj+hatk and hati+hatj+chatk are...

    Text Solution

    |

  20. If veca=hati+lamdahatj+2hatk,vecb=muhati+hatj-hatk are orthogonal and ...

    Text Solution

    |