A function is displayed in two windows

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

Problem

A function gg is displayed in two windows. • Window A: −2≤x≤2-2\le x\le2, −2≤y≤2-2\le y\le2 — the graph seems to approach y=3y=3 as x→1x\to1. • Window B: 0.8≤x≤1.20.8\le x\le1.2, 0≤y≤100\le y\le10 — the graph rises sharply without bound as x→1x\to1. Which window provides the more reliable information about lim⁡x→1g(x)\displaystyle \lim_{x\to1}g(x), and what conclusion about the limit does that window support?

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