A function is defined by for and for

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

A function

g

is defined by

g(x)=x

for

x<2

and

g(x)=5

for

x\ge 2

. Explain why

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

does not exist.