2 LIMITS
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Exploring Continuity4. We know that the function g (x) = x 2 is continuous everywhere.(a) Show that if f is continuous everywhere, then h (x) = f (x) 2 is continuous everywhere, using a limitargument.(b) Is it true or false that if h (x) = f (x) 2 is continuous everywhere, then f is continuous everywhere?If it is true, prove it. If it is false, give a counterexample.75
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