∑[n=1,∞]cos(nπ)/ln5是diverge,用nth term方法∑[n=1,∞](n+1)(4^2+1)^n/4^(2n)是converge,用geometric series方法∑[n=1,∞](4n+5)/(-1)^n是diverge,用nth term方法∑[n=1,∞]lnn/(6n)是diverge,用integral test方法