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Provide an Appropriate Response , And Ll=Lr\mathrm { L } _ { \mathrm { l } } = \mathrm { L } _ { \mathrm { r } }

question 7

Multiple Choice

Provide an appropriate response.
-Given limx0f(x) =Ll,limx0+f(x) =Lr\lim _ { x \rightarrow 0^ { - } } \mathrm { f } ( \mathrm { x } ) = \mathrm { L } _ { \mathrm { l } } , \lim _ { \mathrm { x } \rightarrow 0 ^ { + } } \mathrm { f } ( \mathrm { x } ) = \mathrm { L } _ { \mathrm { r } } , and Ll=Lr\mathrm { L } _ { \mathrm { l } } = \mathrm { L } _ { \mathrm { r } } , which of the following statements is false?
I. limx0f(x) =L1\lim _ { x \rightarrow 0 } f ( x ) = L _ { 1 }
II. limx0f(x) =Lr\lim _ { x \rightarrow0 } f ( x ) = L _ { r }
III. limx0f(x) \lim _ { x \rightarrow 0} f ( x ) does not exist.


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