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Def. (continuous): A map $f:x?y$ between two (n.L.S) is a continuans of a point $z$ in $X$ if every positive $?$ Thery exists Positive $?$, such that $0<?x?z?_{x}<?, implies?f(x)?f(z)?_{y}<??$ $Q?$ Rewrite this definition using simpols only then Prove it.

Let f: X ? Y and let z ? X. Then f is a continuans of z in X if ?? > 0, ?? > 0 such that ?x ? X, if 0 < ?x - z? < ?, then ?f(x) - f(z)? < ?.To prove t