SOLUTION: Find the sum of the infinite series {{{ 1 + 2 + 3 + 4 + ... + r -1 }}} divided by r! (factorial of r) where r belongs to infinite set {2, 3, 4, 5, .....}.

Algebra ->  Sequences-and-series -> SOLUTION: Find the sum of the infinite series {{{ 1 + 2 + 3 + 4 + ... + r -1 }}} divided by r! (factorial of r) where r belongs to infinite set {2, 3, 4, 5, .....}.      Log On


   



Question 1184295: Find the sum of the infinite series +1+%2B+2+%2B+3+%2B+4+%2B+...+%2B+r+-1+ divided by r! (factorial of r) where r belongs to infinite set {2, 3, 4, 5, .....}.
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
.

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Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If what you meant was
lim%28r-%3E+infinity%2C+%281%2B2%2B3%2B4%2B5%2B%22...%22%2Br%29%2F%22r%21%22%29
then the answer is , for r+%3E=+2.
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