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Provide an Appropriate Response limxθf(x)=1\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = 1

question 308

Multiple Choice

Provide an appropriate response.
-If limxθf(x) =1\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = 1 and f(x) f ( x ) is an odd function, which of the following statements are true?
I. limxθf(x) =1\lim _ { x \rightarrow - \theta } f ( x ) = 1
II. limxθ+f(x) =1\lim _ { x - \theta ^ { + } } f ( x ) = - 1
III. limxθf(x) \lim _ { x \rightarrow - \theta } f ( x ) does not exist.

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