Answer
a) $\lim\limits_{x \to -\infty}f(x) = 2$
b) $\lim\limits_{x \to \infty}f(x) =0$
Work Step by Step
a) The function appears to be trending towards 2 from below as x gets smaller. We assume this trend continues and therefore that as the function approaches negative infinity, its value approaches 2
b) The function appears to be trending towards but not quite reaching 0 as x increases, so we assume this trend continues and that as the function approaches infinity, its value approaches 0