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Possible criteria for a limit: As you get closer and closer to the limit point, the function gets closer and closer to the limit value.
Possible criteria for a limit: "As you get closer and closer to the limit point, the function gets closer and closer to the limit value." Which of the following is an example that meets the criteria but does not have the stated limit? 1 As x approaches 100, f(x) = gets closer and closer to 0. Therefore, the limit as x approaches 100 of f(x) is 0. x As x approaches 2, f(x) = x2 gets closer and closer to 4. Therefore, the limit at x = 2 of f(x) is 4. None of these show a problem with this criteria for a limit. As x approaches 3, f(x) = (l + x)2 gets closer and closer to 16. Therefore, the limit as x approaches 3 of f(x) is 16
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