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Suppose "the limit as x goes to a of f(x) is L". I believe in school I had teachers used the term "limiting value" to refer to a. Is this the correct terminally to refer to a?

I would like to use this in my class, but I want to make sure I'm using the correct terminology. I want to tell my class that when working with limits "It doesn't matter how the function is defined at the limiting value, or even whether its defined at all there...".

B flat
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    In my language, there is no expression for what you want, and we get by just fine. We phrase the sentence as "It does not matter if the function is defined at a given point, it may still have a limit at that point". Everytime I read math literature in english, I also saw this similar terminology. – 5xum Jan 20 '16 at 08:47

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Normally "limiting value" refers to the limit that the expression tends to, and not the point to which the limit is taken. Indeed I find it a bit troublesome that we don't seem to have a term (in English) for that point. I would end up phrasing what you want to say almost exactly the way 5xum did.

user21820
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