Solved

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

question 95

Multiple Choice

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

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Provide an Appropriate Response lim⁡x→θ−f(x)=L1,lim⁡x→θ+f(x)=Lr\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = L _ { 1 } , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = L _ { r }limx→θ−​f(x)=L1​,limx→θ+​f(x)=Lr​

Definitions:

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