matlab判断下列级数的收敛性

syms n
s1=symsum(1/n⁽²n),n,1,inf)
s1 =
sum(1/(n⁽²n)),n = 1 … Inf)
vpa(s1,10)
ans =
1.062652416
因此不收敛

syms n
s1=symsum(sin(1/n),n,1,inf)
s1 =
sum(sin(1/n),n = 1 … Inf)
vpa(s1,10)
ans =
sum(sin(1/n),n = 1 … Inf)

clear
syms n
s=symsum(log(n)/n^3,n,1,inf)
s =
-zeta(1,3)
收敛