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若f(x)=sin(πx/3),则f(1)+f(2)+f(3)+……+f(2010)=?
人气:369 ℃ 时间:2020-03-30 23:07:29
解答
f(x)=sin(πx/3)的周期是2π/(π/3)=6,f(x) = - f(-x)f(1)= - f(-1 + 6)= - f(5)f(2)= - f(-2 + 6)= - f(4)f(3)= f(6)=0=> f(1)+f(2) +f(3)+ f(4)+ f(5)+ f(6)=0f(1)+...f(2010)=335 *[ f(1)+f(2) +f(3)+ f(4)+ f(...
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