Apentix/AP Calculus AB/Unit 1: Limits and Continuity/Question

AP Calculus ABeasymcq1 pt

Let $f(x)=\begin{cases} x+1, & x<2 \\ x^2, & x\ge 2 \end{cases}$ . What is $\lim_{x\to 2^-} f(x)$ ?

A.

4

B.

2

C.Does not exist

D.

3

Explanation

Core Concept

For $x<2$ the function is $x+1$ , so the left-hand limit is $2+1=3$ .

Correct Answer

D $3$

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