Use the graph to find the limit L (if it exists). If the limit does not...

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Use the graph to find the limit L (if it exists). Ifthe limit does not exist, explain why. (If an answer does notexist, 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 functionis not continuous at any x value.

The limit does not exist at x = 2 because the functionapproaches different values from the left and right side of2.    

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

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

(b)

lim x→1 h(x)

L =

(Select One)

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

The limit does not exist at x = 1 because the functionapproaches different values from the left and right side of1.    

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

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

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