判断无穷数列 sin(π/2)+sin(2π/2)+sin(3π/2)+sin(4π/2)+… 的敛散性.
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判断无穷数列sin(π/2)+sin(2π/2)+sin(3π/2)+sin(4π/2)+…的敛散性.判断无穷数列sin(π/2)+sin(2π/2)+sin(3π/2)+sin(4π/2)+…的敛散
判断无穷数列 sin(π/2)+sin(2π/2)+sin(3π/2)+sin(4π/2)+… 的敛散性.
判断无穷数列 sin(π/2)+sin(2π/2)+sin(3π/2)+sin(4π/2)+… 的敛散性.
判断无穷数列 sin(π/2)+sin(2π/2)+sin(3π/2)+sin(4π/2)+… 的敛散性.
=1+0-1+0+1+0-1+0+……
显然他的值是1,1,0,0,1,1,0,0,……
即在0和1上震荡
而不是收敛于一个确定的值
所以是发散
判断无穷数列 sin(π/2)+sin(2π/2)+sin(3π/2)+sin(4π/2)+… 的敛散性.
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