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Chapter 03 - Limits and Continuity

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$f:E\to Y$, $g:f(E)\to Z$ and $h:E\to Z$ defined by $h(x)=g\left(f(x)\right)$. If //f// is continuous... a mapping from //X// on to $\mathbb{R}^k$ defined by $\underline{f}(x)=\left(f_1(x),f_2(x),f_3(x),...,