Answer:
converge
Step-by-step explanation:
the reason is : the individual terms of the series get smaller and smaller towards 0, and therefore the sum converges to a certain limit.
why do I know that the individual terms get smaller and smaller ?
because the terms are ultimately (with n getting very large the constant factors added constants become irrelevant)
n / (n^(3/2))
as sqrt(n³) = n^(3/2)
and n^(3/2) progresses much faster and stronger than n (or n¹), as 3/2 is larger than 1.
so, the denominator (bottom) of that fraction grows stronger than the numerator (top), and the terms go therefore against 0 with larger and larger n.
