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Hi I'm currently studying Foundation of Analysis and have some questions the Statement that the function f is continuous at the point (a, f(a)) means

Hi I'm currently studying Foundation of Analysis and have some questions

the Statement that the function f is continuous at the point (a, f(a)) means that ..... ?
the statement that the function f is uniformly continuous on its domain means that...?
the statement that the function f is continuous on its domain means that....?

could you complete the sentences?!?!

I have to memorize these

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