Mathematics

Mathematics

Problem

The table gives selected values of a function qq near x=4x=4. x  q(x) 3.9  7.05 3.99  7.005 4   10 4.01  6.995 4.1  6.90 Which statement about qq is most strongly supported by the data? a) lim⁡x→4q(x)=10\displaystyle \lim_{x\to 4} q(x)=10 because q(4)=10q(4)=10. b) The limit at x=4x=4 does not exist because q(4)q(4) is not close to nearby values. c) lim⁡x→4q(x)=7\displaystyle \lim_{x\to 4} q(x)=7 even though q(4)≠7q(4)\neq 7. d) The limit at x=4x=4 does not exist because the left–hand and right–hand limits are unequal.

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