Hi, I would like to know if I can say that products, sums, and quotients of continuous functions are continuous. From what I can tell, what I've asked is the same as asking if the product, sums, quotients of limits 'work' and of course they do.(adsbygoogle = window.adsbygoogle || []).push({});

For example if lim(x->a)g(x) = c and lim(x->a)h(x) = d then lim(x->a)g(x)h(x) = cd. If I write c = g(a) and d = h(a) then lim(x->a)g(x)h(x) = g(a)h(a) and I've got continuity of g(x)h(x) at x = a?

The answer looks obvious but I'd like to make sure. Any input would be good thanks.

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# Homework Help: Continuity math question

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