perplexus.info :: Just Math : Maybe?

Maybe? (Posted on 2012-01-15)

Is there a function F(x), such that for every x, larger than -1, the following is true:

F(x)=1+ F(x/(x+1)) ?

No Solution Yet Submitted by Ady TZIDON

Rating: 3.0000 (1 votes)

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Final answer (spoiler)

| Comment 1 of 3

No, there is no such function.

Proof:

(a) Assume such a function exists.

(b) Let x = 0

Posted by Steve Herman on 2012-01-15 20:06:11

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