Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Sequences & Series (Convergence)
Let \(\rm a_n=\left(1+\frac{1}{n}\right)^n\) and \(\rm b_n=n \cos \left(\frac{n ! \pi}{2^{10}}\right)\) for n ∈ ℕ. Then
1
(an) is convergent and (bn) is bounded
2
(an) is NOT convergent and (bn) is bounded
3
(an) is convergent and (bn) is unbounded
4
(an) is NOT convergent and (bn) is unbounded