On Aug 21, 7:44 am, Andelf <[EMAIL PROTECTED]> wrote:
> I am a starter, so I don't understand why this goes wrong
>
> I typed:
>
> x = var('x')
> f = log(2+sqrt(arctan(x)*sin(1/x)))
> lim(f, x=0)
>
> and got:
> Traceback (click to the left for traceback)
> ...
> Is sin(1/x)*atan(x) positive or zero?
>
> actually I should get a  log(2).
>
> who can help me explain it?

Should limit assume you mean the limit only along the real line?  The
behavior along the imaginary axis is different, so it seems like this
should complain until you are more specific.  I'm curious, did this
limit come up somewhere in practice?

JM
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