Home
Class 12
MATHS
lim(n rarr oo) II(n=2)^(n) (1 - (3)/(n (...

`lim_(n rarr oo) II_(n=2)^(n) (1 - (3)/(n (n+2)))` is equal to

A

1

B

4

C

`(1)/(4)`

D

`(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 100

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

  • NTA TPC JEE MAIN TEST 102

    NTA MOCK TESTS|Exercise MATHEMATICS |29 Videos

Similar Questions

Explore conceptually related problems

lim_(n rarr oo)sum_(r=2n+1)^(3n)(n)/(r^(2)-n^(2)) is equal to

lim_(n rarr oo)(1-(2)/(n))^(n)

lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

lim_ (n rarr oo) ((n-1) (n-2) (n-3)) / (n ^ (3))

lim_ (n rarr oo) (2 ^ (n) -1) / (2 ^ (n) +1)

lim_ (n rarr oo) (2 ^ (n) -1) / (2 ^ (n) +1)

lim_ (n rarr oo) (e ^ (n)) / ((1+ (1) / (n)) ^ (n ^ (2))) equals

lim_ (n rarr oo) (1) / ((n) ^ ((1) / (n))) is equal to

lim_ (n rarr oo) [1-ln (1+ (1) / (n)) ^ (n-2)] is equal to

lim_(n rarr oo)(2^(3n))/(3^(2n))=

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 101-MATHEMATICS
  1. The exhaustive intervals of real values of x such that sqrt(12-4x) ...

    Text Solution

    |

  2. If 1 , omega , omega^(2) ……………….. Omega^(n-1) are the n roots of unity...

    Text Solution

    |

  3. lim(n rarr oo) II(n=2)^(n) (1 - (3)/(n (n+2))) is equal to

    Text Solution

    |

  4. If f (x) = {((2)/(1+x^(2)),x cancelinQ),(b , x in Q ):} has exactly tw...

    Text Solution

    |

  5. Let f ( x) be a function satisfying f' (x) = f (x) with f(O) = 1 and g...

    Text Solution

    |

  6. If the pair of tangents are drawn from 0 (0, 0) to the circle x^(2 )+ ...

    Text Solution

    |

  7. Area of the region bounded by the curve y = tan x, tangent drawn to th...

    Text Solution

    |

  8. The mean and median of a moderately skewed distribution are 5 and 6 re...

    Text Solution

    |

  9. A ray travelling along the line 3x - 4y = 5 after being reflected from...

    Text Solution

    |

  10. The roots of the equation x^(5) - 40x^(4) + px^(3) + qx^(2) + rx + s =...

    Text Solution

    |

  11. For each n in N, the correct statement is

    Text Solution

    |

  12. If f ( x) = x^(3) + e^((x)/(2)) and g ( x) is the inverse of f (x), ...

    Text Solution

    |

  13. A polygon has 44 diagonals. Find the number of sides.

    Text Solution

    |

  14. If a, b, care positive real numbers and the system of equations (a - ...

    Text Solution

    |

  15. If x = 9 is the chord of contact of the hyperbola x^(2) - y^(2) = 9, t...

    Text Solution

    |

  16. Let vecp,vecq,vecr be three mutually perpendicular unit vectors. If ...

    Text Solution

    |

  17. If cos x = tan y, cos y= tan z, cos z then = tan x sin x = a sin x = a...

    Text Solution

    |

  18. Consider the inequation cos x - cos 3x gt= 0 x in [0, 2pi ]. If the ...

    Text Solution

    |

  19. If tan^(-1) ((2)/(11)) + tan^(-1) ((1)/(2)) = (1)/(m) where cos^(-1) ...

    Text Solution

    |

  20. m in R. The substitution y = um transforms the differential equation ...

    Text Solution

    |