Answer
$\lim_{n\to\infty}\dfrac{(-1)^{n}}{n}=0$
Work Step by Step
$a_{n}=\dfrac{(-1)^{n}}{n}$
$\lim_{n\to\infty}a_{n}=\lim_{n\to\infty}\dfrac{(-1)^{n}}{n}=...$
For every $n$, the numerator will always be $1$ or $-1$. But as $n$ approaches infinity, the denominator becomes very big and the sequence approaches $0$.
$\lim_{n\to\infty}\dfrac{(-1)^{n}}{n}=0$
