Home
Class 12
MATHS
Find the sum of series 1+1/2+1/3+1/4+1/6...

Find the sum of series `1+1/2+1/3+1/4+1/6+1/8+1/9+1/12+…… oo,` where the term are the reciprocals of the positive integers whose only prime factors are two's and three's :

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|6 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

Find the sum of series in GP 1/3, 1/9, 1/27 ……………….. up to oo

Find the sum of the grometric series 1+1/2+1/4+1/8+... to 12 terms.

Obtain the sum of the series 1/4+1/16+1/64 ……………….to oo

Find the sum series: tan^-1 (1/3)+tan^-1 (1/7)+tan^-1(1/13)+…to oo

If the sum of the n terms of a G.P. is (3^(n)-1) , then find the sum of the series whose terms are reciprocal of the given G.P..

VK JAISWAL-SEQUENCE AND SERIES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The sum of all digits of n for which sum (r =1) ^(n ) r 2 ^(r ) = 2+2^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. How many ordered pair (s) satisfy log (x ^(2) + (1)/(3) y ^(3) + (1)/(...

    Text Solution

    |

  20. Let a and b be positive integers. The values. The value of xyz is 55 a...

    Text Solution

    |