Questions: Use the graph to find the limit. (a) lim as x approaches -2 of h(x) (b) lim as x approaches 0 of h(x)

Transcript text: Use the graph to find the limit. (a) $\lim _{x \rightarrow-2} h(x)$ $\square$ (b) $\lim _{x \rightarrow 0} h(x)$ $\square$

Solution

Step 1: Identify the limit to be found for part (a)

We need to find the limit of $ h(x) $ as $ x $ approaches $-2$.

Step 2: Locate the point on the graph for $ x = -2 $

From the graph, when $ x = -2 $, the corresponding $ y $-value (or $ h(x) $) is $-7$.

\[ \lim_{x \to -2} h(x) = -7 \]

Step 3: Identify the limit to be found for part (b)

We need to find the limit of $ h(x) $ as $ x $ approaches $ 0 $.

Step 4: Locate the point on the graph for $ x = 0 $

From the graph, when $ x = 0 $, the corresponding $ y $-value (or $ h(x) $) is $-5$.

Final Answer for (b)

\[ \lim_{x \to 0} h(x) = -5 \]

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