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Estimating a Limit From Tabular Data

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The table below shows selected values for a function h. Use the data to estimate the value of lim⁡x→2h(x)x−2\lim_{x \to 2} \frac{h(x)}{x-2}.

x h(x)
1.9 -0.05
1.95 -0.025
2.0 0
2.05 0.025
2.1 0.05
A

00

B

11

C

0.50.5

D

−0.5-0.5

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