Home
Class 12
MATHS
Let r^(th) term t (r) of a series if giv...

Let `r^(th)` term `t _(r)` of a series if given by `t _(c ) = (r )/(1+r^(2) + r^(4)) .` Then `lim _(n to oo) sum _(r =1) ^(n) t _(r)` is equal to :

A

`1/2`

B

`1`

C

2

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|19 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|17 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|43 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

sum_(r=1)^n r (n-r +1) is equal to :

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

lim_(nto oo)sum_(r=1)^(n)r/(n^(2)+n+4) equals

(sum_(r=1)^n r^4)/(sum_(r=1)^n r^2) is equal to

sum_(r=0)^(n)(""^(n)C_(r))/(r+2) is equal to :

The r th term of a series is given by t_r=r/(1+r^2+r^4) , then lim(n->oo)sum_(r=1)^n(t_r)

The value of lim_(nto oo)(1)/(2) sum_(r-1)^(n) ((r)/(n+r)) is equal to

If f(n)=sum_(r=1)^(n) r^(4) , then the value of sum_(r=1)^(n) r(n-r)^(3) is equal to

lim_(n->oo)1/nsum_(r=1)^(2n)r/(sqrt(n^2+r^2)) equals

lim_(nto oo) (1)/(n^(2))sum_(r=1)^(n) re^(r//n)=

VK JAISWAL ENGLISH-SEQUENCE AND SERIES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. Let r^(th) term t (r) of a series if given by t (c ) = (r )/(1+r^(2) +...

    Text Solution

    |

  2. Let a,b,c,d be four distinct real number in A.P.Then the smallest posi...

    Text Solution

    |

  3. The sum of all digits of n for which sum (r =1) ^(n ) r 2 ^(r ) = 2+2^...

    Text Solution

    |

  4. If lim ( x to oo) (r +2)/(2 ^(r+1) r (r+1))=1/k, then k =

    Text Solution

    |

  5. The value of sum (r =1) ^(oo) (8r)/(4r ^(4) +1) is equal to :

    Text Solution

    |

  6. Three distinct non-zero real numbers form an A.P. and the squares of t...

    Text Solution

    |

  7. which term of an AP is zero -48,-46,-44.......?

    Text Solution

    |

  8. In an increasing sequence of four positive integers, the first 3 terms...

    Text Solution

    |

  9. The limit of (1)/(n ^(4)) sum (k =1) ^(n) k (k +2) (k +4) as n to oo i...

    Text Solution

    |

  10. Which is the last digit of 1+2+3+……+ n if the last digit of 1 ^(3) + ...

    Text Solution

    |

  11. There distinct positive numbers, a,b,c are in G.P. while log (c) a, lo...

    Text Solution

    |

  12. The numbers 1/3, 1/3 log (x) y, 1/3 log (y) z, 1/7 log (x) x are in H...

    Text Solution

    |

  13. If sum ( k =1) ^(oo) (k^(2))/(3 ^(k))=p/q, where p and q are relativel...

    Text Solution

    |

  14. The sum of the terms of an infinitely decreassing Geometric Progressio...

    Text Solution

    |

  15. A cricketer has to score 4500 runs. Let a (n) denotes the number of ru...

    Text Solution

    |

  16. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  17. Let f (n)=(4n + sqrt(4n ^(2) -1))/( sqrt(2n +1 )+sqrt(2n-1)),n in N th...

    Text Solution

    |

  18. Find the sum of series 1+1/2+1/3+1/4+1/6+1/8+1/9+1/12+…… oo, where the...

    Text Solution

    |

  19. Let a (1), a(2), a(3),…….., a(n) be real numbers in arithmatic progres...

    Text Solution

    |

  20. Let the roots of the equation 24 x ^(3) -14x ^(2) + kx +3=0 form a geo...

    Text Solution

    |

  21. How many ordered pair (s) satisfy log (x ^(3) + (1)/(3) y ^(3) + (1)/(...

    Text Solution

    |