Question

∑(-1)^n*n/ln(n+1)敛散性

Answer 1

lim(n→∞)|(-1)^n*n/ln(n+1)|
=lim(x→∞)x/ln(x+1)
=lim(x→∞)1/[1/(x+1)]
=lim(x→∞)(x+1)
≠0
∴发散