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

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

Answer

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Similar Questions

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

FInd the sum of infinite terms of the series 1/(1.2.3)+1/(2.3.4)+1/(3.4.5).....

Knowledge Check

  • The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

    A
    `log_(e) 2 - 1`
    B
    `log_(e) 2`
    C
    `log_(e) (4/e)`
    D
    `2log_(e) 2 `
  • The sum of the series (1)/(1.2)-(1)/(2.3)+(1)/(3.4)- ………..oo=

    A
    `2log_(e )^(2)`
    B
    `2log_(e )^(2)+1`
    C
    `log_(e )^(2)`
    D
    `log_(e )((4)/(e ))`
  • The sum of the series : S = 1/(1.2) + 1/(2.3) + 1/(3.4) + 1/(4.5) + …. + 1/(99.100) is:

    A
    `a) 98/99`
    B
    b)`99/100`
    C
    `c)S gt 1`
    D
    d)none of these
  • Similar Questions

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

    Find the sum to n terms of the series , (1)/(1.2)+(1)/(2.3)+(1)/(3.4)+.... ?

    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)+....

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