A function satisfies the following near : • As approaches from the left

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

Problem

A function hh satisfies the following near x=0x=0: • As xx approaches 00 from the left, h(x)h(x) approaches 22. • As xx approaches 00 from the right, h(x)h(x) approaches −1-1. State (a) lim⁡x→0−h(x)\displaystyle \lim_{x\to 0^-} h(x) and (b) lim⁡x→0h(x)\displaystyle \lim_{x\to 0} h(x).

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