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Use a CAS to Plot the Function near the Point limxa[f(x)±g(x)]=limxaf(x)±limxag(x)=L±M\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 limxa[f(x) ±g(x) ]=limxaf(x) ±limxag(x) =L±M\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 limxaf(x) =L\lim _ { x \rightarrow a } f ( x ) = L and limxag(x) =M\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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