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[SOLVED] Analysis Question
Let f:Reals to Reals be a continuous at x=a, and further suppose f(a)>0. Show there exists an interval I about x=a such that f(x)>0 for all x in I.
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i know the defn of continuity but I am not sure how to show this interval exists.
I need HELP!
Homework Statement
Let f:Reals to Reals be a continuous at x=a, and further suppose f(a)>0. Show there exists an interval I about x=a such that f(x)>0 for all x in I.
Homework Equations
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The Attempt at a Solution
i know the defn of continuity but I am not sure how to show this interval exists.
I need HELP!