use the graph to evaluate the limit.\nlim f(x)\nx→ - 1\n\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)