use the graph to evaluate the limit.\nlim f(x)\nx→ - 1\no $\frac{3}{4}$\no - $\frac{3}{4}$\no ∞\no -1

Explanation:

Step1: Analyze left - hand limit

As $x$ approaches $- 1$ from the left side ($x\to - 1^{-}$), the function values $f(x)$ increase without bound.

Step2: Analyze right - hand limit

As $x$ approaches $- 1$ from the right side ($x\to - 1^{+}$), the function values $f(x)$ increase without bound.

Step3: Determine the limit

Since the left - hand limit and the right - hand limit as $x$ approaches $-1$ are both $\infty$, $\lim_{x\to - 1}f(x)=\infty$.

Answer:

$\infty$