[All Steps] Assume that f is defined on (-1,1) and is continuous at x=0 . Assume that f(0)=2. Use the definition of continuity to prove that there exists
Question: Assume that \(f\) is defined on \((-1,1)\) and is continuous at \(x=0 .\) Assume that \(f(0)=2\). Use the definition of continuity to prove that there exists an interval \(I=(-r, r)\) for some \(r>0\) such that for all \(x \in I\) we have \(f(x)>1\).
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