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AP Calculus AB/Unit 1: Limits and Continuity
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Estimating a Limit From a Table

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The table below shows values of the function f(x)=2x2+5f(x) = 2x^2 + 5 for selected values of xx near 3. What is the value of lim⁡x→3f(x)\lim_{x \to 3} f(x)?

x f(x)
2.8 20.68
2.9 21.82
3.0 23.00
3.1 24.22
3.2 25.48
A

2222

B

The limit does not exist because the function is discontinuous at x=3.

C

23.523.5

D

2323

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