Let f(t) be a piecewise continuously differentiable and absolutely integrable function and denote its Fourier transform by F{f(t)} = g(o), where o is the transformed variable. Then which of the following is (are) TRUE? (a) g(0) is bounded for –∞ < o <∞ (b) g(0) is continuous for -∞

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A: I think the given answer is not correct.