Problem 1: Infinite Series Convergence
Determine whether the series â (1/n²) converges or diverges.
The series converges by the p-series test, where p = 2 > 1.
Problem 2: Ratio Test Application
Apply the ratio test to determine the convergence of â (n! / 3âż).
The series converges by the ratio test since the limit of the ratio of successive terms is less than 1.