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PLet f be a function that is defined for all real numbers x. Of the following, which is the best interpretation of the statement lim x->3 f(x)=5?

PLet f be a function that is defined for all real numbers x Of the following which is the best interpretation of the statement lim xgt3 fx5 class=

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Answer:

C

Step-by-step explanation:

The definition of a limit is the value a function it is approaching as the limit approaches a certain point.

We have the limit:

[tex]\lim_{x\to3} f(x)=5[/tex]

In other words, the value of f(x) as x approaches 3 approaches 5.

We do not care what happens at x=3. Rather, the limit tells us that as x approaches or gets closer to x=3, the function f(x) gets closer to 5.

Thus, the correct answer is C.