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Consider the function f (x) = K = 202 + K2 (a) Prove that f is a continuous function defined for all x E R

Consider the function f (x) = K = 202 + K2 (a) Prove that f is a continuous function defined for all x E R . (b) Show that f is differentiable on every bounded interval A C R , and determine the series representation of the derivative function f

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