Let . Which of the following statements about is…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

f(x)=\begin{cases} x^{2}+1, & x\neq 2\\ 5, & x=2 \end{cases}

. Which of the following statements about

\displaystyle\lim_{x\to 2} f(x)

is correct? (a) The limit exists and equals

4

. (b) The limit exists and equals

2

. (c) The limit exists and equals

5

. (d) The limit does not exist.