Problem: If c is in V(adsbygoogle = window.adsbygoogle || []).push({}); _{n}, show that the function f given by f(x) = c.x (c dot x, where both c and x are vectors) is continuous on ℝ^{n}.

How do I go about proving this? I'm not sure if c is supposed to be a constant or a constant vector, but since it is bolded in the book I am assuming it is a vector. Also, I'm not sure what V_{n}is. Finally, how do I show it is continuous?

As you can probably see, I am very lost. Any help would be appreciated.

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# Prove function is continuous, multivariable

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