Mathematics

Problem

Which statement correctly describes the condition for a removable discontinuity of a function

f

x=c

? a) The one–sided limits of

f

x\to c

are unequal. b) The limit

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

exists and equals

f(c)

. c) The limit

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

exists, and either

f(c)

is undefined or

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

. d)

f(x)

grows without bound (approaches

\pm\infty

) as

x\to c