mathxl.com Done Not found Q Saeed Alshahrani 1 /23/15 7:37 PM Quiz: Quiz 1 secti

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mathxl.com Done Not found Q Saeed Alshahrani 1 /23/15 7:37 PM Quiz: Quiz 1 sections 2.1 2.2 Overview This Question: 1 pt This Test: 16 pts Time Limit: 01:00:00 8 of 16 complete If lim f(x) 5, must f be defined at x 1? If it is, must f(1) 5? Can anything be concluded about the values of f at x 1? Explain. Must f be defined at x 1? O Yes Vi Vi O No If f is defined at x 1, must (1) 5? OA No, because it might be a piecewise function where the limit approaching 1 from the left and the limit approaching 1 from the right are the same, but f( ght be defined as a different value OB. No, because even if a function is defined at a particular point, it may not exist at that point. OC. Yes, because if it is defined at x 1, the f(1) must equal lim f(x). Can anything be concluded about the values of fat x 1? A. No, nothing can be concluded without knowing more about the definition of f B. Yes, f(1) must equal 5 Click to select your answer. I Submit Quiz Previous Question Next Question

Explanation / Answer

Must f be dfined at x = 1?

Answer :

No, it need not be defined at x = 1. When it says lim x ---> 1, it means as x approaches
1 from either side, the value of y is 5. It does not necessarily mean that at x = 1, y must equal 5. Also, it is also possible that x = 1, the function is not even defined. Even this is ok

So, No

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If f is defined at x = 1, must f(1) = 5 ?

Option A

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Csn anything be concluded about the value of f at x = 1 ?

Option A

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