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

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

A

4

B

2

C

5

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS -2018

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|58 Videos

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos

Similar Questions

Explore conceptually related problems

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

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.

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

Show that there is no positive integer, n for which sqrt(n-1) + sqrt(n+1) is rational .

The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2019-MCQs
  1. If cos x=|sinx| then, the general solution is

    Text Solution

    |

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

    Text Solution

    |

  3. If P(n): 2^(n)ltn! Then the smallest positive integer for which P(n) i...

    Text Solution

    |

  4. Foot of the perpendicular drawn from the point (1,3,4) to the plane 2x...

    Text Solution

    |

  5. Acute angle between the line (x-5)/2=(y+1)/-1=(z+4)/1 and the plane 3x...

    Text Solution

    |

  6. The distance of the point (1,2,1) from the line (x-1)/2=(y-2)/1=(z-3)/...

    Text Solution

    |

  7. XY-plane divides the line joining the points A(2,3,-5) and B(-1,-2,-3)...

    Text Solution

    |

  8. The inverse of the matrix [(2,5,0),(0,1,1),(-1,0,3)] is

    Text Solution

    |

  9. If P and Q are symmetric matrices of the same order then PQ-QP is

    Text Solution

    |

  10. If 3A+4B'=[(7,-10,17),(0,6,31)]and 2B-3A'[(-1,18),(4,0),(-5,-7)]" then...

    Text Solution

    |

  11. If A=[(1,3),(4,2)],B=[(2,-1),(1,2)]," then "|ABB'|=

    Text Solution

    |

  12. If the value of a third order determinant is 16, then the value of the...

    Text Solution

    |

  13. The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

    Text Solution

    |

  14. sum(r=1)^(n)(2r-1)=x" then "lim(nrarroo)[1^(3)/x^(2)+2^(3)/x^(2)+3^(3)...

    Text Solution

    |

  15. The negative of the statement "All continuous functions are differenti...

    Text Solution

    |

  16. Mean and standard deviation of 100 items are 50 and 4 respectively. Th...

    Text Solution

    |

  17. Two letters are chosen from the letters of the word 'EQUATIONS'. The p...

    Text Solution

    |

  18. int" x"^(3)sin3xdx=

    Text Solution

    |

  19. The area of the region above X-axis included between the parabola y^(2...

    Text Solution

    |

  20. The area of the region bounded by Y-axis, y=cos x and y =sinxx0lexlepi...

    Text Solution

    |