Home
Class 12
MATHS
Sum of the series 1/(4. 1^2-1)+1/(4. 2^...

Sum of the series `1/(4. 1^2-1)+1/(4. 2^2-1)+1/(4. 3^2-1)+` upto infinite terms is a. `3/2` (2) `1/2` (3) 1 (4) infinite

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The sum of the series 1/1.2-1/2.3+1/3.4-1/4.5+ ... is

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

The sum of the series (9)/(5^(2)*2*1)+(13)/(5^(3)*3*2)+(17)/(5^(4)*4*3)+... upto infinity

Sum of infinite terms of series 3 + 5. 1/4 + 7. 1/4^2 + .... is

The sum of the series 1/(2!)-1/(3!)+1/(4!)-... upto infinity is (1) e^(-2) (2) e^(-1) (3) e^(-1//2) (4) e^(1//2)

The sum of the series (1)/(1!)+(2)/(2!)+(3)/(3!)+(4)/(4!) +…..to infty is

Sum of n terms of the series 1/(1.2.3.4.)+1/(2.3.4.5) +1/(3.4.5.6)+....

Sum of n terms of the series 1/(1.2.3.4.)+1/(2.3.4.5) +1/(3.4.5.6)+....

Find the sum of the series 1+2^(2)x+3^(2)x^(2)+4^(2)x^(3)+"...."" upto "infty|x|lt1 .

The sum of the series (1)/(2!)+(1+2)/(3!)+(1+2+3)/(4!)+..to infty is equal to

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find the ratio of greatest value of 2-cos x+ sin^(2)x to its least val...

    Text Solution

    |

  2. Write the following sets in the tabular from : (i) A={x:x is a posit...

    Text Solution

    |

  3. Sum of the series 1/(4. 1^2-1)+1/(4. 2^2-1)+1/(4. 3^2-1)+ upto inf...

    Text Solution

    |

  4. The value of k for which product of two of the roots of the equation ...

    Text Solution

    |

  5. Write the following sets in the tabular from : (i) A={x:x is a posit...

    Text Solution

    |

  6. The marks of some students were listed out  of a maximum 75. The SD of...

    Text Solution

    |

  7. The sum of the first 100 terms common to the series 17, 21, 25, 29...

    Text Solution

    |

  8. Describe the following set in set builder form: E={0}

    Text Solution

    |

  9. The length of latusrectum of the parabola whose parametric equations ...

    Text Solution

    |

  10. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |

  11. Write the following sets in the set builder form: P={2}

    Text Solution

    |

  12. A relation R is defined as H1RH2 such that length of latus rectum of t...

    Text Solution

    |

  13. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 is [...

    Text Solution

    |

  14. Write the following sets in the set builder form: Q={1,4,9, 16}

    Text Solution

    |

  15. A fair coin is tossed 5 times and getting a head is considered as a...

    Text Solution

    |

  16. Draw the labelled graph of the following: y=|x-1|-|3x-2|

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. STATEMENT 1 : The value of int(-4)^(-5)sin(x^2-3)dx+int(-2)^(-1)sin(x^...

    Text Solution

    |

  19. Prove that product of four consecutive positive integers increased by ...

    Text Solution

    |

  20. When statements p ,qa n dr take truth values as T T F ,F F T in or...

    Text Solution

    |