发散的,将级数拆成两个,用比较判别法分别判断,一个发散,一个收敛,所以原级数发散
You can use limiting comparison test.Since the ratio lim{x-->oo} [(n+sinn)/(n+1)^2]/(1/n) = 1, the series diverges.Attn: {1/n} is harmonious series, which diverges.
这种问题就不属于我这种年龄做了