PG entrance exam IIT JAM 2025 Mock Test Mathematical Science Analysis Sequences & Series (Convergence)
Let \(\{a_n\} \) be a sequence defined by
\(a_n = \frac{(-1)^n n^{1/3}}{(2^n + n)} \) and consider the infinite series \(\sum_{n=1}^{\infty} a_n \) then
1
\(\sum_{n=1}^{\infty} a_n \) Converges Absolutely.
2
\(\sum_{n=1}^{\infty} a_n \) Diverges.
3
\(\sum_{n=1}^{\infty} a_n \) oscillatory.
4
None of these .