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# Confusing limits... Watch

1. when
when
when
when

So

True or False?

Apparently the answer's true. But I can't understand why. Surely when ?
2. (Original post by RamocitoMorales)
when
when
when
when
What conditions must a limit satisfy to exist?
3. (Original post by Clarity Incognito)
What conditions must a limit satisfy to exist?

But I'm guessing that it can't be since it is 'static' at that point, i.e , as opposed to being an interval...I think?
4. (Original post by RamocitoMorales)

But I'm guessing that it can't be since it is 'static' at that point, i.e , as opposed to being an interval...I think?
It could have been undefined at x=0 but what's important about limits is that we're looking at what happens to f(x) as x tends to 0 from the positive side and the negative side. What happens exactly at the point x=0 is not so important. You can see the left side limit (coming from the negative side of 0) that it approaches 0 and similarly for the right side limit. For a limit to exist, it must have a left side limit and a right side limit and both must approach the same limit.

My question was ambiguous because it seemed to imply what exactly it means for something to be convergent to a limit but I assume that as you just want to compute these limits that you haven't got to that stage just yet.
5. (Original post by RamocitoMorales)

But I'm guessing that it can't be since it is 'static' at that point, i.e , as opposed to being an interval...I think?
It seems that you're trying to justify the continuity of the function rather than the existence of the limit.

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