Home
Class 12
MATHS
lim(n rarr 0)(1/(1+n^(2))+2/(1+n^(2))+3/...

`lim_(n rarr 0)(1/(1+n^(2))+2/(1+n^(2))+3/(1+n^(2))+....+n/(1+n^(2)))` is equal to

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Comprehension Type|4 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos
  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

lim_(n to infty)((1)/(n^(2))+(2)/(n^(2))+(3)/(n^(2))+ . . . . +(n)/(n^(2))) is . . . . . . .

lim_(xto oo)((1)/(1-n^(2))+(2)/(1-n^(2))+ . . .+(n)/(1-n^(2))) is

lim_(nto0)(1/n^(2)+2/n^(2)+3/n^(2)+...+n/n^(2)) is

lim_(nto oo)((1^(2))/(1-n^(3))+(2^(2))/(1-n^(3))+ . . . .+(n^(2))/(1-n^(3)))=

lim_(nrarroo) [(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+...+(1)/(8n)] is equal to

Evaluate lim_(ntooo) (1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2)).

lim_(n to oo)((1)/(n^2)+(2)/(n^2)+(3)/(n^2)+"………."+(n)/(n^2)) is

lim_(n -> oo) (((n+1)(n+2)(n+3).......3n) / n^(2n))^(1/n) is equal to

The value of ("^n C_0)/n + ("^nC_1)/(n+1) + ("^nC_2)/(n+2) +....+ ("^nC_ n)/(2n) is equal to

CENGAGE-LIMITS-Question Bank
  1. If Lim(x rarr 0) (1-cosx)/(e^(ax)-bx-1) exist and is equal to 1, then ...

    Text Solution

    |

  2. If graph of a function f(x) is shown in the adjacent figure, then Lim(...

    Text Solution

    |

  3. Let f(x) =(sec x)^(cosecx) + (cot x)^(sin x). Then the value of Lim(x ...

    Text Solution

    |

  4. Lim(z rarr 0){{max((sin^(-1)x + cos^(-1)x)^(2), min(x^(2)+4x+7))}. (si...

    Text Solution

    |

  5. The reciprocal of the value of: ("lim")(ntooo)(1-1/(2^2))(1-1/(3^2))(1...

    Text Solution

    |

  6. The value of Lim(x rarr 0)(sum(k =1)^(2016){(sinx)/x+2015k})/2016 is [...

    Text Solution

    |

  7. Lim(x rarr oo) (30+4sqrtx+7root(3)(x))/(2+sqrt(4x-7)+root(3)(6x-2) )eq...

    Text Solution

    |

  8. If Lim(x rarr0) ((a sin x + b tan x)/x^(3))= 3/2 then |a+2b| is equal ...

    Text Solution

    |

  9. lim(n rarr 0)(1/(1+n^(2))+2/(1+n^(2))+3/(1+n^(2))+....+n/(1+n^(2))) is...

    Text Solution

    |

  10. Find the value of lim(n rarr oo)sum(k=1)^(n)(k^(2)+k-1)/((k+1)!) .

    Text Solution

    |

  11. The value of Lim(x rarr 0)((tanx)^(1/x)+(1+sinx)^(x)) where x gt0 is e...

    Text Solution

    |

  12. If Lim(x rarr 0) (a sinx + bxe^(x)+3x^(2))/(sin x-2x+tanx) exists and ...

    Text Solution

    |

  13. If Lim(x rarr a) (sqrt(x-b)-sqrt(a-b))/(x^(2)-a^(2))(a gt b) = 1/64 an...

    Text Solution

    |

  14. If lim(x rarr 0) (k+cos lx)/x^(2)exists and has the value equal to -4 ...

    Text Solution

    |

  15. Lim(x rarr 0)((3sin x- sin 3x)^(4))/((sec x - cosx)^(6)) is equal to

    Text Solution

    |

  16. Lim(x rarr 0)(tanx sqrt (tanx)-sin x sqrt(sinx))/(x^(3).sqrtx) equals

    Text Solution

    |

  17. f(x)=("ln"(x^(2)+e^(x)))/("ln"(x^(4)+e^(2x)))." Then "underset(xtooo)l...

    Text Solution

    |