Let \(\sum_{n=1}^{\infty} a_n\) and \(\sum_{n=1}^{\infty} b_n \) be two series where \(a_n = \frac{(-1)^n n}{7^n} \) , \(b_n = \frac{(-1)^n}{log(n+1)} \) for all n \(\in \) N then
1
Both \(\sum_{n=1}^{\infty} a_n\) and \(\sum_{n=1}^{\infty} b_n \) are conditionally convergent .
2
\(\sum_{n=1}^{\infty} a_n\) is absolutely convergent but \(\sum_{n=1}^{\infty} b_n \) is conditionally convergent.
3
\(\sum_{n=1}^{\infty} a_n\) is conditionally convergent but \(\sum_{n=1}^{\infty} b_n \) is absolutely convergent.
4
Both \(\sum_{n=1}^{\infty} a_n\) and \(\sum_{n=1}^{\infty} b_n \) are absolutely convergent.