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Explains what it means to say that lim f x 4 and lim f x...

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Calculus

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Explains what it means to say that lim f x 4 and lim f x 8 2 5 2 5 O As a approaches 5 from the left f x approaches 4 As a approaches 5 from the right f x approaches 8 O As a approaches 5 f x approaches 8 but f 5 4 O As a approaches 5 f x approaches 4 but f 5 8 O As a approaches 5 from the right f x approaches 4 As a approaches 5 from the left f x approaches 8 In this situation is it possible that lim f x exists Explain z 5 OYes f x could have a hole at 5 8 and be defined such that f 5 4 O Yes f x could have a hole at 5 4 and be defined such that f 5 8 OYes if f x has a vertical asymptote at x 5 it can be defined such that lim f x 4 2 5 lim f x 8 and lim f x exists z 5 2 5 No lim f z cannot exist if lim f x lim f x 2 5 x 5

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