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

question 153

Multiple Choice

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


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