A function f(x) is said to be continuous at a point x = a, in its domain if the following statements are satisfied:

Question

I. f(a) exists

II. lim x→a f(x) exists

III. right-hand limit ≠ left-hand limit

IV. Both are finite

Choices:

A. Statements I, II, and III only

B. Statements II, III, and IV only

C. Statements I, II, and IV only

D. Statements I, III, and IV only

Answer 1

Answer is C if IV means that that limits from left and right finite and equals each other (from II).