Mathematics

Problem

Which of the following is NOT typically a reason that the limit of a function

f

x\to a

fails to exist? a)

f

approaches two different finite values from the left and right of

x=a

. b)

f

increases or decreases without bound as

x\to a

from at least one side. c) The function has a removable discontinuity (a single missing point) at

x=a

but is otherwise well behaved. d)

f

oscillates more and more rapidly near

x=a

without settling on a single value.