Re: Why does everyone do it?

Horand.Gassmann@xxxxxxxxxxxxxx wrote:

On Aug 26, 7:51 am, Han de Bruijn <Han.deBru...@xxxxxxxxxxxxxx> wrote:
[...]

I'll repeat what you wrote for convenience:

And again, for every x, lim{n->infinity g_n(x) = 0.

Is that what you call a "pointwise" limit ?

It is, indeed.

How then can x = 1/(2.n)
not belong to "every x" ?

Now you are just being an ass. Fix x and let n approach infinity.
x = 1/(2n) is not fixed.

Of course not, otherwise it would not be "every".

Han de Bruijn

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