判断无穷级数收敛性,∑ 根号N / (2n^2 +n +2)是∑ (根号N) / (2n^2 +n +2)

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判断无穷级数收敛性,∑根号N/(2n^2+n+2)是∑(根号N)/(2n^2+n+2)判断无穷级数收敛性,∑根号N/(2n^2+n+2)是∑(根号N)/(2n^2+n+2)判断无穷级数收敛性,∑根号N

判断无穷级数收敛性,∑ 根号N / (2n^2 +n +2)是∑ (根号N) / (2n^2 +n +2)
判断无穷级数收敛性,∑ 根号N / (2n^2 +n +2)
是∑ (根号N) / (2n^2 +n +2)

判断无穷级数收敛性,∑ 根号N / (2n^2 +n +2)是∑ (根号N) / (2n^2 +n +2)
(根号N )/ (2n^2 +n +2)跟1/n^2
收敛性一样,而∑1/n^2明显收敛
故∑ 根号N / (2n^2 +n +2)收敛

因为lim n*根号(N/(2n^2+n+2)) = N/2 (n趋向无穷大)
所以由极限审敛法,该级数发散