Question

Graph a function f that satisfies:

Answer 1

(i)
\[f(x) = 0 , x \in \mathbb{Z}\] and \[f(x) \neq 0, x \notin \mathbb{Z}\]

(ii)
\[\lim_{x \rightarrow \infty} f(x) = 0, \lim_{x \rightarrow -\infty} f(x) = 0\]

Answer 2

1/x ?

Answer 3

lol, sorry