AP Calculus ABmediummcq1 pt

Based on the data in the table below, which of the following statements about the function f(x) = x² is true for all x near 1?

A.D) The limit of f(x) as x approaches 1 does not exist

B.A) The limit of f(x) as x approaches 1 is 3

C.C) The function is continuous at x = 1

D.B) The limit of f(x) as x approaches 1 is 1

Explanation

Core Concept

From the table, as x approaches 1 from both the left and right, f(x) approaches 1. Therefore, based on the data, the limit of f(x) as x approaches 1 is 1. Options A and C are incorrect since they do not accurately describe the behavior of the function. Option D is incorrect since the limit of f(x) as x approaches 1 does exist.

Correct Answer

DB) The limit of f(x) as x approaches 1 is 1

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