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

question 57

Multiple Choice

Provide an appropriate response.
-Given limxθf(x) =L,limxθ+f(x) =Lr\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = L , \lim _ { x - \theta ^ { + } } f ( x ) = L _ { r } , and L1=LrL _ { 1 } = L _ { r } , which of the following statements is false?
I. limx9f(x) =Ll\lim _ { x \rightarrow 9 } f ( x ) = L _ { l }
II. limxθf(x) =Lr\lim _ { x \rightarrow \theta } f ( x ) = L _ { r }
III. limxθf(x) \lim _ { x \rightarrow \theta } f ( x ) does not exist.


Definitions:

Mixed/Whole Numbers

Numbers that consist of both an integer and a fraction part.

Percents

A mathematical term denoting fractions of a hundred, used to describe proportions, interest rates, and changes in values.

Decimals

Numbers expressed using a decimal point to separate the whole part from the fractional part.

Mixed/Whole Numbers

Numbers consisting of both a whole number and a fractional part, commonly used in everyday measurements.

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