Math Problem Statement

The function [g] is defined for all real numbers. Function g is graphed. The x-axis goes from negative 8 to 8. The graph consists of a curve and a closed circle. The curve starts at (negative 8, 2), moves upward to (negative 4, 4), and moves downward through an open circle at x = 2, midway between y = 1 and y = 2. The curve ends in quadrant 1. The closed circle is plotted at x = 2, between y = negative 2 and y = negative 3, closer to y = negative 2. [\small{1}] [\small{2}] [\small{3}] [\small{4}] [\small{5}] [\small{6}] [\small{7}] [\small{\llap{-}2}] [\small{\llap{-}3}] [\small{\llap{-}4}] [\small{\llap{-}5}] [\small{\llap{-}6}] [\small{\llap{-}7}] [\small{1}] [\small{2}] [\small{3}] [\small{4}] [\small{5}] [\small{6}] [\small{7}] [\small{\llap{-}2}] [\small{\llap{-}3}] [\small{\llap{-}4}] [\small{\llap{-}5}] [\small{\llap{-}6}] [\small{\llap{-}7}] [y] [x] [\blueD g] What is a reasonable estimate for

[\displaystyle\lim_{x\to 2}g(x)] ? Choose 1 answer: Choose 1 answer: (Choice A)
[-2.4] A [-2.4] (Choice B)
[-2] B [-2] (Choice C)
[1.5] C [1.5] (Choice D)
[2] D [2] (Choice E) The limit doesn't exist. E The limit doesn't exist.

Solution

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Math Problem Analysis

Mathematical Concepts

Limits
Graph Analysis
Continuity

Formulas

-

Theorems

Limit Definition
Left-hand and Right-hand Limits

Suitable Grade Level

Grades 10-12