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Natalie Goodwin

Feb 20, 2025

if lim x→3 f(x)=7, which of the following must be true?

I. f is continuous at x=3II. f is differentiable at x=3III. f(3)=7(A) none(B) II only(C) III only(D) I and III only(E) I II and III
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Miss Alice Doyle

Feb 20, 2025

Since there is no equation, there is no right answer to go by. Remember, a limit is what the value LOOKS like it should be by approaching it from both sides at every point besides the actual point. So for example, it could be a straight line everywhere on the graph except f(3), but at F(3), the point may actually equal 97. Even if it looks as though it should equal 7, without an equation, there is no way to be certain. The answer is A. None are true... Show More
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