Suppose is undefined at but exists

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

Problem

Suppose

f

is undefined at

x=a

but

\displaystyle \lim_{x\to a}f(x)=L

exists. Explain in one or two sentences why assigning the value

f(a)=L

will make

f

continuous at

x=a