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## Homework Statement

Ok my book tells me

A function f is continuous at a number a if

lim x->a f(x) = f(a)

and I'm not buying it

Like sure it makes sense but i'm wondering if someone can tell me the exceptions to this definition or if it's just completely wrong

you know like sort of like how when I was told many years ago

cox(x)=-2 had no solutions

only to find out it did...

like so can someone tell me if the definition my book gives me is strictly speaking correct... please tell me all exceptions or if it's wrong like for example maybe the complex logarithm maybe?

Thanks