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))^(e)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos
  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

The maximum value of (log_(e)x)/(x) , if x gt0

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 :

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

SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
  1. The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:

    Text Solution

    |

  2. The equation of the normal to the curve y(1+x^(2))=2-x where the tang...

    Text Solution

    |

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

    Text Solution

    |

  4. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

    Text Solution

    |

  5. The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...

    Text Solution

    |

  6. If veca and vec b are unit vectors, then what is the angle between vec...

    Text Solution

    |

  7. The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2...

    Text Solution

    |

  8. The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

    Text Solution

    |

  9. Suppose veca + vecb + vecc = 0, |veca| = 3, |vecb| = 5, |vecc| = 7, th...

    Text Solution

    |

  10. If veca, vecb, vecc are three non-zero vector such that each one of th...

    Text Solution

    |

  11. If the straight lines 2x+3y-3=0 and x+ky+7=0 are perpendicular, then t...

    Text Solution

    |

  12. The rate of change of area of a circle with respect to its radius at r...

    Text Solution

    |

  13. Find the value of tan ""pi/8.

    Text Solution

    |

  14. Area lying between the curves y^(2)=2x and y=x is

    Text Solution

    |

  15. If P(AnnB)=7//10andP(B)=17//20, where P stands for probability then P(...

    Text Solution

    |

  16. The coefficient of variation of two distribution are 60 and 70. The st...

    Text Solution

    |

  17. Two cards are drawn at randrom from a pack of 52 cards. The probabilit...

    Text Solution

    |

  18. If sin^(-1)x+sin^(-1)y=(pi)/(2), then x^(2) is equal to

    Text Solution

    |

  19. The value of int(2)^(8)(sqrt(10-x))/(sqrt(x)+sqrt(10-x))dx is

    Text Solution

    |

  20. Write the contrapositive and converse of the following statements. I...

    Text Solution

    |