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
Let \(a_n=\left(1+\frac{1}{n}\right)^n\) and \(b_n=n\cos(\frac{n!\pi}{2^{10}})\) for n ∈ \(\N\). Then
Updated On: Oct 1, 2024
- (an) is convergent and (bn) is bounded
- (an) is NOT convergent and (bn) is bounded
- (an) is convergent and (bn) is unbounded
- (an) is NOT convergent and (bn) is unbounded
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The Correct Option is C
Solution and Explanation
The correct option is (C) : (an) is convergent and (bn) is unbounded.
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