Home
Class 11
MATHS
underset(nrarroo)lim[(1)/(sqrtn)+(1)/(sq...

`underset(nrarroo)lim[(1)/(sqrtn)+(1)/(sqrt(2n))+(1)/(sqrt(3n))+...+(1)/(n)]`

A

Statement-I is true, Statement -II is true and Statement -II is a correct explanation for Statement - I.

B

Statement -I is true, Statement-II is true but Statement -II is not a correct explanation of Statement - I.

C

Statement -I is true, Statement - II is false.

D

Statement -I is false, Statement - II is true.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Exercise|57 Videos

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|12 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

lim_(nrarroo) [(1)/(sqrtn)+(1)/(sqrt(2n))+(1)/(sqrt(3n))+...+(1)/(n)]

Find the values of the following limts : underset(nrarroo)"lim"((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+....+(1)/(3^(n)))

Prove : underset(nrarroo)"lim"(sqrt(n+1)-sqrt(n))=0

Evaluate : underset(nrarroo)"lim"(1+sqrt(n))/(1-sqrt(n))

Find the value of lim_(nrarroo)[(1)/(sqrt(2n-1)^(2))+(1)/(sqrt(4n-2^(2)))+...+(1)/(n)] .

Evaluate : underset(nrarroo)"lim"(sqrt(1+n^(2))-sqrt(1+n))/(sqrt(1+n^(3))-sqrt(1+n))

Find the values of the following limts : underset(nrarroo)"lim"(1+(1)/(2)+(1)/(2^(2))+(1)/(2^(3))+...."to n terms")

lim_(nrarroo) [(1)/(n+1)+(1)/(n+2)+(1)/(n+3)+...+(1)/(n+n)]

Evaluate: lim_(nrarroo) [(1)/(n+m)+(1)/(n+2m)+(1)/(n+3m)+...+(1)/(n+nm)]

underset(nrarroo)"lim"(-3n+(-1)^(n))/(4n-(-1)^(n)) is equal to

CHHAYA PUBLICATION-MATHEMATICAL INDUCTION -Sample Questions for Competitive Exams
  1. If for all ninNN and nge1, then (3^(2^(n))-1) is always divisible by

    Text Solution

    |

  2. If ninNN , both expression n(n+1)(n+2) and n(n+1)(n+5) are multiple of...

    Text Solution

    |

  3. The value of n for which n!gt2^(n) will true, are -

    Text Solution

    |

  4. If n is even then the expression n(n^(2)+20) is divisible by the numbe...

    Text Solution

    |

  5. If p inNN then the expression p^(n+1)+(p+1)^(2n-1) is divisible by the...

    Text Solution

    |

  6. 10^(n)+3*4^(2)+5 is always divisible by the number -

    Text Solution

    |

  7. 3^(2n) when divided by 8 leves the remainder-

    Text Solution

    |

  8. If n be a positive integer, then the digit in the unit's place of 3^(2...

    Text Solution

    |

  9. For a positive integer n,n(n+1)(2n+1) when divided by 6 leaves the rem...

    Text Solution

    |

  10. ninNN,(n+1)^(3)+(n+2)^(3)+(n+3)^(3) when divided by 9, then the remain...

    Text Solution

    |

  11. Match the entries given in left column with those given in right colum...

    Text Solution

    |

  12. Match the entries given in left column with those given in right colum...

    Text Solution

    |

  13. P(n):11^(n+2)+1^(2n+1) where n is a positive integer p(n) is divisib...

    Text Solution

    |

  14. P(n):11^(n+2)+1^(2n+1) where n is a positive integer If P(n) = 14642...

    Text Solution

    |

  15. P(n):11^(n+2)+1^(2n+1) where n is a positive integer If n=3, then th...

    Text Solution

    |

  16. If n be a positive integer and P(n):4^(5n)-5^(4n) P(n) is divisible ...

    Text Solution

    |

  17. If n be a positive integer and P(n):4^(5n)-5^(4n) If P(n) be negativ...

    Text Solution

    |

  18. If n be a positive integer and P(n):4^(5n)-5^(4n) When n=3 then the ...

    Text Solution

    |

  19. underset(nrarroo)lim[(1)/(sqrtn)+(1)/(sqrt(2n))+(1)/(sqrt(3n))+...+(1)...

    Text Solution

    |

  20. Statement - I : For every natural number ((n+4)!)/((n+1)!) is divisibl...

    Text Solution

    |