A function is defined by g(x)= cases kx+1, & x<2 3, & x 2 cases For which value of…

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

Problem

A function

g

is defined by

g(x)=\begin{cases} kx+1, & x<2\\ 3, & x\ge 2 \end{cases}

For which value of

k

does

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

exist? (a)

k=\dfrac12

(b)

k=3

(c)

k=1

(d)

k=0