Answer
Converges to 0
Work Step by Step
The general term is $T_{n}=\frac{(-1)^{n+1}}{3^{n+4}}$
$\lim\limits_{n \to \infty}$ $T_{n}$ = $\lim\limits_{n \to \infty}$ $\frac{(-1)^{n+1}}{3n+4}$ = $\frac{(-1)^{n+1}}{\infty}$ = 0
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