Answer
See explanations.
Work Step by Step
a. We say that $f(x)$ approaches infinity as $x$ approaches $c$ from the left, and write $\lim_{x\to c^-}f(x)=\infty$ , if, for every positive real number $B$, there exists a corresponding number $\delta\gt0$ such that for all x, $c-\delta\lt x\lt c$, we get $f(x)\gt B$
b. We say that $f(x)$ approaches minus infinity as $x$ approaches $c$ from the right, and write $\lim_{x\to c^+}f(x)=-\infty$ , if, for every negative real number $-B$, there exists a corresponding number $\delta\gt0$ such that for all x, $c\lt x\lt c+\delta$, we get $f(x)\lt -B$
c. We say that $f(x)$ approaches minus infinity as $x$ approaches $c$ from the left, and write $\lim_{x\to c^-}f(x)=-\infty$ , if, for every negative real number $-B$, there exists a corresponding number $\delta\gt0$ such that for all x, $c-\delta\lt x\lt c$, we get $f(x)\lt -B$
