Step-by-step explanation:
lim(n→∞) an / bn
= lim(n→∞) [(sin²n) / (n³√n + n)] / (1 / n^⁷/₂)
= lim(n→∞) [(sin²n) / (n³√n)] / (1 / n^⁷/₂)
= lim(n→∞) (sin²n)
DNE
Since the limit does not exist, the limit comparison test is inconclusive.
