Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Sequences & Series (Convergence)
consider the statements
(A) Series \(\sum \operatorname{Sin}\left(\frac{1}{n}\right)\) is divergent.
(B) Series \(\frac{1}{3^2} \frac{2}{4^2}+\frac{3}{5^2} \cdot \frac{4}{6^2} \) + \(\frac{5}{7^2} \frac{6}{8^2}+\ldots\) is convergent.
Then
1
Both statements (A) and (B) are true.
2
(A) is true but (B) is false.
3
(A) is false, but (B) is true.
4
Neither (A) nor (B) is true.