Question

How do you do this question?

Answer 1

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.