Home
Class 12
MATHS
If P(n):2^(n) lt n! Then the smallest ...

If `P(n):2^(n) lt n!`
Then the smallest positive integer for which `P(n)` is true if

A

2

B

4

C

3

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2018

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • MATHEMATICS

    KCET PREVIOUS YEAR PAPERS|Exercise MCQs|59 Videos

Similar Questions

Explore conceptually related problems

If P(n): 2^(n)ltn! Then the smallest positive integer for which P(n) is true, is

The smallest positive integer n for which (1+i)^(n) is purely imaginary is

The smallest positive integer n for which (1+i sqrt(3))^(n / 2) is real is

The smallest positive integer for which (1 + i)^(2n)=(1 -l)^(2n) is

The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2)) is positive is

The least positive integer n for which (sqrt(3)+i)^(n)=(sqrt(3)-i)^(n) is

Prove that 2^(n) gt n for all positive integers n.

Let a_(1), a_(2) , a_(3),"………………" be in harmonic progression with a_(1) = 5 and a_(20) = 25 . The least positive integer n for which a_(n) lt 0 is :

Let, a_1,a_2,a_3,…. be in harmonic progression with a_1=5 " and " a_(20)=25 The least positive integer n for which a_n lt 0

If n is a positive integer, then n^(3)+2n is divisible

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2019-MATHEMATICS
  1. The order of the differential equation y=C(1)e^(C(2)+x)+C(3)e^(C(4)+...

    Text Solution

    |

  2. If |veca| -= 16,|vecb| = 4 then, sqrt(|vecaxxvecb|^(2)+|veca.vecb|^(2...

    Text Solution

    |

  3. If the angle between veca and vecb is (2pi)/3 and the projection of ve...

    Text Solution

    |

  4. A unit vector perpendicular to the plane containing the vectors hati+2...

    Text Solution

    |

  5. [veca+2vecb-vecc,veca-vecb,veca-vecb-vecc] =

    Text Solution

    |

  6. root(3) (y) sqrtx = root(6)((x+y)^(5)), then (dy)/(dx) =

    Text Solution

    |

  7. Roll's theorem is not applicable in which one of the following cases?

    Text Solution

    |

  8. THe interval in which the function f(x) = x^(3) - 6x^(2) + 9x + 10 is ...

    Text Solution

    |

  9. The side of an equilateral triangle are increasing at the rate of 2 cm...

    Text Solution

    |

  10. The value of sqrt(24.99) is

    Text Solution

    |

  11. int(-3)^(3) cot^(-1)x dx =

    Text Solution

    |

  12. int (1)/(sqrtx+xsqrtx) dx =

    Text Solution

    |

  13. int (2x-1)/((x-1)(x+2)(x-3)) dx = A log|x-1|+ B log|x+2|+ C log|x-3|+ ...

    Text Solution

    |

  14. int(0)^(2)[x^(2)] dx =

    Text Solution

    |

  15. int(0)^(1)sqrt((1+x)/(1-x)) dx =

    Text Solution

    |

  16. If U is the universal set with 100 elements, A and B are two sets such...

    Text Solution

    |

  17. The domain of the function f: Rto R defined by f(x) = sqrt(x^(2) - 7x ...

    Text Solution

    |

  18. If cos x = |sin x|, then the general solution is

    Text Solution

    |

  19. Show that sqrt3" cosec "20^(@)-sec 20^(@)=4

    Text Solution

    |

  20. If P(n):2^(n) lt n! Then the smallest positive integer for which P(n...

    Text Solution

    |