Question: Let f(x) = a1 sin x + a2 sin 2x + . . . + an, where a1, a2, . . .an, are real numbers

Let f(x) = a1 sin x + a2 sin 2x + . . . + an, where a1, a2, . . .an, are real numbers and is a positive integer. If it is given that for all | f(x) < | sin x |, show that | a1 – 2a2 + . . . + na n | < 1

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Note that f0 0 so for x 0 fx 0 x0 fx a cos x 2a cos 2x Th... View full answer

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