URGENT CALCULUS QUESTION: about limits

Let f be defined as follows, where a 0, (see image attached below)

Which of the following are true about f?

I. lim x --> a f(x) exists

II. f(a) exists

III. f(x) is continuous at x=a

A. None

B. I, II, and III

C. I only

D. II only

E. I and II only

Thank you!

Let f be dened as follows, where a It 0. Which of the following are true about 2'? I. lim f(x) exists. 1H II. f(a) exists. III. f(x) is continuous at x = a O A. None. 0 B. I, II, and Ill. 0 C. | only. 0 D. II only. 0 E. land II only