Values of near are shown below

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Values of g(x)g(x) near x=3x=3 are shown below. x  2.90 2.99 2.999 3.001 3.01 3.10 g(x) −1.50 −1.20 −1.05 0.95 1.10 1.50 Which statement is most strongly supported by the data in the table? (a) g(3)=0g(3)=0 (b) lim⁡x→3g(x)=−1\displaystyle\lim_{x\to 3} g(x)= -1 (c) The two–sided limit at x=3x=3 does not exist because the one–sided limits are not equal (d) lim⁡x→3g(x)=0\displaystyle\lim_{x\to 3} g(x)=0

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