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- When Limiting Values Occur Suppose S(t) represents the average speed, in miles per hour, for a 100-mile trip that requires t hours. Explain why we expect S to have a limiting value.Refer to the graph below. Find the limit of ℎ(x)as x approaches -5.Estimate the limit numerically if it exists. HINT [See Examples 1-3.] (If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.) lim x→0 x − 3 x − 3
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