Question

Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an answer does not exist, enter DNE.)

h(x) = -x/2 + x²

(a)

lim x→2 h(x)

L =

(Select One)

The limit does not exist at x = 2 because the function is not continuous at any x value.

The limit does not exist at x = 2 because the function approaches different values from the left and right side of 2.    

The limit does not exist at x = 2 because the function value is undefined at x = 2.

The limit does not exist at x = 2 because the function does not approach f(2) as x approaches 2.The limit exists at x = 2.

(b)

lim x→1 h(x)

L =

(Select One)

The limit does not exist at x = 1 because the function does not approach f(1) as x approaches 1.

The limit does not exist at x = 1 because the function approaches different values from the left and right side of 1.    

The limit does not exist at x = 1 because the function is not continuous at any x value.

The limit does not exist at x = 1 because the function value is undefined at x = 1.The limit exists at x = 1.

Answer 1