11
$\begingroup$

I am a word.

When by none, I am erroneous.
When by one, extraneous.
When surrounded by any, I am the one.
Yet when I am to any by many, said any approaches none.

What am I?

$\endgroup$
  • 2
    $\begingroup$ Nice riddle! +1 to question and answer. $\endgroup$ – Rand al'Thor Mar 15 '15 at 22:11
  • 2
    $\begingroup$ totally awesome riddle :) $\endgroup$ – zlobi.wan.kenobi Mar 16 '15 at 6:35
7
$\begingroup$

Sounds like

division.

When by none, I am erroneous.

Division by zero results in an error.

When by one, extraneous.

Division by one returns the original number.

When surrounded by any, I am the one.

Any nonzero N divided by any nonzero N equals one. The division sign is "surrounded" by N.

Yet when I am to any by many, said any approaches none.

$ \lim_{x \to +\infty}\frac{N}{x}=0$

$\endgroup$

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