1 + 1.1! + 2.2! + 3.3! +……+n.n!  is equal to

1 + 1.1! + 2.2! + 3.3! +......+n.n!  is equal to

  1. A

    n!

  2. B

    (n1)!

  3. C

    (n+1)!

  4. D

     n

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    Solution:

    1+1.1!+2.2!+3.3!+.......+n.n! 

    =1+(21)1!+(31)2!+(41)3!+....+(n+11)n!

    =1+2.1!1!+3.2!2!+4.3!3!+.......+(n+1).n!n! =1+( 2!-1!)+(3!-2!)+(4!-3!)+..............+[n+1!-n!]

    =(n+1)!

     

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