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Limit of 1/x = infinty?

asked 2014-02-12 11:04:50 +0100

anonymous user



I don't get why limit(1/x, x = 0) returns infinity.

Shouldn't it be undefined?

Interestingly, Mathematica also returns infinity, but on Wolfram Alpha it says two-sided limit does not exist.

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answered 2014-02-12 11:32:28 +0100

Infinity is not signed There also +Infinity and -Infinity .

example :

sage: limit(1/x, x=0)
sage: limit(1/x, x=0, dir='+')
sage: limit(1/x, x=0, dir='-')

Look at here :

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Thanks. I get it now, although returning infinity when asking for the two-sided limit seems a bit misleading to me. But it's not just sage doing it...

Cassio gravatar imageCassio ( 2014-02-12 12:07:25 +0100 )edit

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Asked: 2014-02-12 11:04:50 +0100

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Last updated: Feb 12 '14