AP Calculus ABmediummcq1 pt

Let f(x)={x2+1,x<310x,x>3f(x)=\begin{cases} x^2+1, & x<3 \\ 10-x, & x>3 \end{cases}. What is limx3f(x)\lim_{x\to 3} f(x)?

A.1010
B.77
C.Does not exist
D.8.58.5

Explanation

Core Concept

The left-hand limit is 32+1=103^2+1=10 and the right-hand limit is 103=710-3=7. Since the one-sided limits differ, the two-sided limit does not exist.

Correct Answer

CDoes not exist

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