$($a$)(2$ points$)$

Consider the sequence given by $a_n=(-1{)}^n+\frac{1}{n}$ for $n1.$ Sketch this sequence in the plane $($with $n$ on the horizontal axis anc $a_n$ along the vertical axis$).$ In one sentence, describe what you see.

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$1($b$)(5$ points$)$

Using the definition$/$theorem discussed in class $($with $$ and $N),$ prove that $L=1$ is not a limit of the sequence $a_n=(-1{)}^n+\frac{1}{n}.$