Let S (subset) R, and let f, g be functions from S to R. If f and g are continuous at a ia an element of set S, then prove that h(x) = f(x) + g(x) is also continuous at a. Hint: look at the proof of the arithmetic of sequences.
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A function is continuous at point a if AND f(a) exist. If you already know that the two functions are continuous at a then All this by definitions.
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