Are the following true or false? If false, then draw or give a counterexample, and state
Chapter 2, Problem 5(choose chapter or problem)
Are the following true or false? If false, then draw or give a counterexample, and state a correct version. (a) f is continuous at x = a if the left- and right-hand limits of f (x) as x a exist and are equal. (b) f is continuous at x = a if the left- and right-hand limits of f (x) as x a exist and equal f (a). (c) If the left- and right-hand limits of f (x) as x a exist, then f has a removable discontinuity at x = a. (d) If f and g are continuous at x = a, then f + g is continuous at x = a. (e) If f and g are continuous at x = a, then f/g is continuous at x = a.
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