The values of a function q near x = 1 are shown in two separate tables

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The values of a function q near x = 1 are shown in two separate tables. Approach from the left (x < 1): x │ 0.9 │ 0.99 │ 0.999 q(x)│ 5 │ 50 │ 500 Approach from the right (x > 1): x │ 1.001 │ 1.01 │ 1.1 q(x)│ −500 │ −50 │ −5 (a) Determine lim⁡x→1−q(x)\displaystyle \lim_{x\to 1^-} q(x). (b) Determine lim⁡x→1+q(x)\displaystyle \lim_{x\to 1^+} q(x). (c) State whether lim⁡x→1q(x)\displaystyle \lim_{x\to 1} q(x) exists and give a brief reason.

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