State the relationship that must hold between the one-sided limits and in order for…

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

Problem

State the relationship that must hold between the one-sided limits

\displaystyle \lim_{x\to c^-}f(x)

and

\displaystyle \lim_{x\to c^+}f(x)

in order for the two-sided limit

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

to exist.