Use a CAS to Plot the Function near the Point $\lim _ { x \rightarrow a } [ f ( x ) \pm g ( x ) ] = \lim _ { x \rightarrow a } f ( x ) \pm \lim _ { x \rightarrow a } g ( x ) = L \pm M$

question 87

Multiple Choice

Use a CAS to plot the function near the point x0 being approached. From your plot guess the value of the limit.
-Provide a short sentence that summarizes the general limit principle given by the formal notation $\lim _ { x \rightarrow a } [ f ( x ) \pm g ( x ) ] = \lim _ { x \rightarrow a } f ( x ) \pm \lim _ { x \rightarrow a } g ( x ) = L \pm M$ , given that $\lim _ { x \rightarrow a } f ( x ) = L$ and $\lim _ { x \rightarrow a } g ( x ) = M$ .

• A) The limit of a sum or a difference is the sum or the difference of the limits.
• B) The sum or the difference of two functions is continuous.
• C) The limit of a sum or a difference is the sum or the difference of the functions.
• D) The sum or the difference of two functions is the sum of two limits.

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Definitions:

Perfect Pitch

The rare ability to identify or recreate a musical note without the need for an external reference.

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A logarithmic unit of measurement that expresses the magnitude of a physical quantity (usually power or intensity) relative to a specified or implied reference level.

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Impairment in hearing ability, which can be caused by exposure to loud noise, aging, disease, or genetic factors.