Fix n E N and consider the function f : R --> R given by

f(x) = $\displaystyle x^n$. Show that f is continuous. Now take a > 0. Show that there is some b E R so that f(b) = a.

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- Nov 18th 2008, 03:24 PMflamingReal Analysis Continuity Question
Fix n E N and consider the function f : R --> R given by

f(x) = $\displaystyle x^n$. Show that f is continuous. Now take a > 0. Show that there is some b E R so that f(b) = a.