Piece of Combinatorics Cake 3

Determine the value of 0 ! + 0 ! + 0 ! + 0 ! + 0 ! + . . . . . . . . . . 0!+0!+0!+0!+0!+.......... Here's the Piece of Combinatorics Cake

Where's the correct answer? I can't find! \infty 0 1

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1 solution

You know that 0! =1.

So replace those 0! with 1 - 1 + 1 + 1 + 1 + 1 + 1 + 1 + . . . . . . 1+1+1+1+1+1+1+......

And the summation is infinite( \infty ) Really piece of cake!

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