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Please explain in detail the answer. I know this is a damped function, so are all of the zeros the same wherever the sinx curve

Please explain in detail the answer. I know this is a damped function, so are all of the zeros the same wherever the sinx curve normally lie? Thanks!

If f (x) = e'sin.x, then the number of zeros of / on the closed interval [0, 2] is (A) 0 (B) 1 (C) 2 (D) 3 (E) 4

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