Hi,

I'm confused about the results I'm getting when I evaluate some limits
with Sage.  For example, I want to find the limit of f(x)=2x/(x-3) as
x approaches 3.  So I compute the one-sided limits with Sage, which
work perfectly:

limit((2*x)/(x-3),x=3,dir='plus')    {Gives output +Infinity}

limit((2*x)/(x-3),x=3,dir='minus')   {Gives output -Infinity}

But, if I give Sage this command:

limit((2*x)/(x-3),x=3)

it gives me Infinity as output (with no sign).  Why doesn't Sage tell
me that the limit doesn't exist?

Thanks,
Brandy

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