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If |a1Sinx+a(2)sin2x+.....+a(n)sinx|le|s...

If `|a_1Sinx+a_(2)sin2x+.....+a_(n)sinx|le|sinx|` for `x in R` then maimum value of `|a_(1)+2a_(2)+3a_(3)+.....+na_(n)|` is

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