Home
Class 12
MATHS
The sum of the infinite series 1+(1)/(3)...

The sum of the infinite series `1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+(1.3.5.7)/(3.6.9.12)+...` is equal to

A

`sqrt(2)`

B

`sqrt(3)`

C

`sqrt((3)/(2))`

D

`sqrt((1)/(3))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the infinite series 1+(2)/(3)+(3)/(3^2)+(4)/(3^3) +........

The sum of the infinite series ((1)/(3))^(2)+(1)/(3)((1)/(3))^(4)+(1)/(5)((1)/(3))^(6)+...... is

The sum of the infinite series 1+(1)/(|__ul(2))+(1.3)/(|__ul(4))+(1.3.5)/(|__ul(6))+…….. is

The sum of the series: 1/(1.2) -1/(2.3) +1/(3.4)-1/(4.5) ………. infty is:

Find the sum of the series 1/1.3+2/(1.3.5)+3/(1.3.5.7) ...upto infinity

The sum of the series 1^3 - 2^3 + 3^3 - ....+ 9^3 =

Find the sum of the following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+...+oo

The 5th term of the sequence {3, 1, (1)/(3), (1)/(9),…} is -

Find the sum to n terms of each of the following series : (1)/(1.3) + (1)/(3.5) + (1)/(5.7) +…

The sum to infinity of the series 1+2/3+6/3^2+10/3^3+14/3^4+....

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. The sum 1xx1!xx2!+...+50xx50! equals

    Text Solution

    |

  2. Six numbers are in A.P in A.P such that their sum is 3. the first term...

    Text Solution

    |

  3. The sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+(...

    Text Solution

    |

  4. The equation x^(2)+x+a=0 and x^(2)+ax+1=0 have a common real root

    Text Solution

    |

  5. If 64,27, 36 are the p^(th) , Q^(th) and R^(th) terms of a G.P. then P...

    Text Solution

    |

  6. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then the value of x^(9)+y^...

    Text Solution

    |

  7. Let p,q,r be the sides opposite to the angles P,Q, R respectively in a...

    Text Solution

    |

  8. Let p,q,r be the sides opposite to the angles P,Q, R respectively in a...

    Text Solution

    |

  9. Let P (2,-3), Q(-2, 1) be the vertices of the triangle PQR. If the cen...

    Text Solution

    |

  10. lim(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)

    Text Solution

    |

  11. If f is a real- valued differentiable function such that f(x)f'(x) lt ...

    Text Solution

    |

  12. Rolle's theorem is applicable in the interval [-2,] for the function

    Text Solution

    |

  13. The solution of 25(d^(2)y)/(dx^(2))-10(dy)/(dx)+y=0, y(0)=1, y(1)=2e^(...

    Text Solution

    |

  14. Let P be the midpoint of a chord joining the vertex of the parabola y^...

    Text Solution

    |

  15. The line x=2y intersects the ellipse (x^(2))/(4)+y^(2)=1 at the points...

    Text Solution

    |

  16. The eccentric angle in the first quadrant of a point on the ellipse (x...

    Text Solution

    |

  17. The transverse axis of hyperbola is along the x-axis and its length is...

    Text Solution

    |

  18. A point moves in such a way that the difference of its distance from t...

    Text Solution

    |

  19. The number of integer values of m, for which the x-coordinates of the ...

    Text Solution

    |

  20. If a straight line passes through the point (alpha, beta) and the port...

    Text Solution

    |