$$ \sum_{n=1}^{\infty} \frac{(\sin(n)+2)^n}{n3^n}$$
Does it converge or diverge? Can we have a rigorous proof that is not probabilistic? For reference, this question is supposedly a mix of real analysis and calculus.
$$ \sum_{n=1}^{\infty} \frac{(\sin(n)+2)^n}{n3^n}$$
Does it converge or diverge? Can we have a rigorous proof that is not probabilistic? For reference, this question is supposedly a mix of real analysis and calculus.