Q5. Let X be the space of all real polynomials of one variable with |||| S|f(t)dt....

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Q5. Let X be the space of all real polynomials of one variable with |||| S|f(t)\dt. = Put B(f,g) = f f (t)g(t)dt. Show that B is a bilinear form on X which is separately continuous but not jointly continuous. Q5. Let X be the space of all real polynomials of one variable with |||| S|f(t)\dt. = Put B(f,g) = f f (t)g(t)dt. Show that B is a bilinear form on X which is separately continuous but not jointly continuous.