Limits of a Function Quiz

c. The limit of f(x) as x approaches 0 from the left does not exist, the limit as x approaches 0 from the right does not exist, and the limit as x approaches 0 does not exist.

d. The limit of f(x) as x approaches 0 from the left is 1, the limit as x approaches 0 from the right is 0, and the limit as x approaches 0 does not exist.

b. The limit of f(x) as x approaches 0 from the left is 1, the limit as x approaches 0 from the right is 0, and the limit as x approaches 0 exists and is equal to 1/2. (correct)

a. The limit of f(x) as x approaches 0 from the left exists, the limit as x approaches 0 from the right exists, and the limit as x approaches 0 exists and is equal to 1/2.

a. The function is continuous at x=0.

b. The function has a removable discontinuity at x=0.

d. The function has an infinite discontinuity at x=0.

c. The function has a jump discontinuity at x=0. (correct)

c. The function has a jump discontinuity at x=0.

d. The function has an infinite discontinuity at x=0.

a. The function is continuous at x=0. (correct)

b. The function has a removable discontinuity at x=0.