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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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Given the table below which shows values of the function $$f(x)=2*x^2+5$$ for values of $$x$$ near 3, determine $$\lim_{x \to 3} f(x)$$.

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

$$22$$

B

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

C

$$23$$

D

$$23.5$$

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