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Continuity is generally expressed as lim x->a f(x)=f(a).

But is it also correct to express it as: lim h->0 f(x+h) - f(x) = 0?

Because that would imply that all numbers around f(x) would have to be very close to f(x), and that is basically what continuity is, no?

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# Ways to express continuity

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