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**[SOLVED] Analysis Question**

**1. 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.

**2. Homework Equations**

none

**3. 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!