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Provide an Appropriate Response limxθf(x)=L1,limxθ+f(x)=Lr\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = L _ { 1 } , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = L _ { r }

question 95

Multiple Choice

Provide an appropriate response.
-Given limxθf(x) =L1,limxθ+f(x) =Lr\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = L _ { 1 } , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = L _ { r } , and L1LrL _ { 1 } \neq L _ { r } , which of the following statements is true?
I. limxf(x) =L1\lim _ { x \rightarrow - } f ( x ) = L _ { 1 }
II. limxθf(x) =Lr\lim _ { x \rightarrow \theta } f ( x ) = L _ { r }
III. limx0f(x) \lim _ { x \rightarrow 0 } f ( x ) does not exist.

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