Explain what it means to say that lim xrightarrow 7 f(x) = 9 and lim x rightarro

Question

Explain what it means to say that lim xrightarrow 7 f(x) = 9 and lim x rightarrow 7+ f(x) = 4. As x approaches 7, f(x) approaches 4, but f(7) = 9. As x approaches 7 from the left, f(x) approaches 9. As x approaches 7 from the right, f(x) approaches 4. o As x approaches 7, f(x) approaches 9, but f(7) = 4. As x approaches 7 from the right, f(x) approaches 9. As x approaches 7 from the left, f(x) approaches 4. In this situation is it possible that lim x rightarrow 7 f(x) exists? Explain. Yes, f(x) could have a hole at (7, 9) and be defined such that f(7) = 4. Yes, f(x) could have a hole at (7, 4) and be defined such that f(7) = 9. Yes, if f(x) has a vertical asymptote at x = 7, it can be defined such that lim x rightarrow f(x)= 9, lim x rightarrow f(x)= 4, and lim x rightarrow 7 f(x) exists. No, lim x rightarrow 7 f(x) cannot exist if lim x rightarrow 7 f(x) cannot exist if lim x rightarrow 7 f(x).

Explanation / Answer

1) b

2)d

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