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Provide an Appropriate Response limx0f(x)=L\lim _ { x \rightarrow 0 } f ( x ) = L

question 133

Multiple Choice

Provide an appropriate response.
-If limx0f(x) =L\lim _ { x \rightarrow 0 } f ( x ) = L , which of the following expressions are true?
I. limx0f(x) \lim _ { x \rightarrow 0 ^ { - } } f ( x ) does not exist.
II. limx0+f(x) \lim _ { x \rightarrow0 ^ { + } } f ( x ) does not exist.
III. limx0f(x) =L\lim _ { x \rightarrow0 ^ { - } } f ( x ) = L
IV. limx0+f(x) =L\lim _ { x \rightarrow0 ^ { + } } f ( x ) = L


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