Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis Sequences & Series (Convergence)
Which of the following is true?
1
\(\sum_{n=1}^{\infty} \frac{(-1)^n}{n}\) does not converge
2
\(\sum_{n=1}^{\infty} \frac{1}{n}\) converge
3
\(\sum_{m=1}^{\infty} \sum_{n=1}^{\infty} \frac{1}{(m+n)^2}\) converge
4
\(\sum_{m=1}^{\infty} \sum_{n=1}^{\infty} \frac{1}{(m+n)^2}\) diverges
5
Question Not Attempted