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Which of the statement(s) is/are incorre...

Which of the statement(s) is/are incorrect? (A) If f+ g is continuous at x = a, then f and g are continuous at x= a (B) If `lim_(x->a) (fg) exists, then both `lim_x->a f and lim_(x->a) g exist. (C) Discontinuity at x = a means non-existence of limit. (D) All functions defined on a closed interval attain a maximum or a minimum value in that interval.

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