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|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The sum of the series 1+(3)/(4)+(6)/(4^(2))+(10)/(4^(3))+... upto infinite terms is

Sum of the series S=1+(1)/(2)(1+2)+(1)/(3)(1+2+3)+(1)/(4)(1+2+3+4)+ upto 20 terms is

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

The sum of the series (1)/(1*2)-(1)/(2*3)+(1)/(3*4)--- upto oo is equal to

The sum of series (1)/(2)+(3)/(2^(2))+(5)/(2^(3))+(7)/(2^(4))+... up to infinite terms is equal to

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

The sum of the series (2)/(1.2)+(5)/(2.3)2^(1)+(10)/(3.4)2^(2)+(17)/(4.5)2^(3)+.... upto n terms is equal:

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)

RESONANCE DPP-JEE MAINS-All Questions
  1. The ratio of the greatest value of 2-cos x+s in^2x to its least value ...

    Text Solution

    |

  2. Write the following sets in the tabular form: D={x : x is an letter of...

    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 form: E={x : x is a natural nu...

    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...........

    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 equat...

    Text Solution

    |

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

    Text Solution

    |

  12. The complete solution set of the inequation 3^(72)(1/3)^xsqrt((1/3)^x ...

    Text Solution

    |

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

    Text Solution

    |

  14. Evaluate 2/7 correct to three decimal places.

    Text Solution

    |

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

    Text Solution

    |

  16. Which of the following statement are true/false ?

    Text Solution

    |

  17. Draw the graph of y=|7-2x|

    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 TT F ,F F T in o...

    Text Solution

    |