Question

Let $a_n=\left(1+\frac{1}{n}\right)^n$ and $b_n=n\cos(\frac{n!\pi}{2^{10}})$ for n ∈ $\N$. Then

• A. (an) is convergent and (bn) is bounded
• B. (an) is NOT convergent and (bn) is bounded
• C. (an) is convergent and (bn) is unbounded
• D. (an) is NOT convergent and (bn) is unbounded

Answer 1

Answer: (C)

(an) is convergent and (bn) is unbounded

Answer 2

The correct option is (C) : (an) is convergent and (bn) is unbounded.