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

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

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.