I can't believe I'm asking this, because I should know this answer but I'm now doubting myself.(adsbygoogle = window.adsbygoogle || []).push({});

If a function goes to infinity as x approaches some real number, would we say the limit as x approaches that number is infinity or would we say that it does not exist?

Doesn't the limit always have to be a real number, but infinity isn't one?

So for example:

the limit as x approaches 0 from the right of 1/x is infinity or not defined?

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# What does lim=infinity mean?

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