Mathematics

Problem

Select the statement that correctly describes a removable discontinuity of a function

f

x=a

. a)

\displaystyle\lim_{x\to a^-}f(x)\neq\lim_{x\to a^+}f(x)

, both limits being finite. b)

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

exists but is not equal to

f(a)

f(a)

is undefined. c)

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

. d)

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

does not exist, but

f(a)\text{ is defined}