Hi guys, I have to confusions which please illustrate for me them in a simple manner.

first is there more than smaller to the point? I mean if I imagine a point .. then I can also imagine a point inside the point that I imagined which it's smaller than what I imagined .. so?

second question, is continuous function means that at everypoint there's a possibility that the values of function over it will be changed? thanks alot

and who said that at every point I have value? maybe at semi-point I have value? who corresponded that a value corresponded to a point and not to semi-point?! thanks alot

first is there more than smaller to the point? I mean if I imagine a point .. then I can also imagine a point inside the point that I imagined which it's smaller than what I imagined .. so?

second question, is continuous function means that at everypoint there's a possibility that the values of function over it will be changed? thanks alot

and who said that at every point I have value? maybe at semi-point I have value? who corresponded that a value corresponded to a point and not to semi-point?! thanks alot

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