Hello Jackson6612, The credit for the following goes to the author who published the article of Limit of a function. org/wiki/Limit_of_a_function The function has a limit L at an input p if f(x) is "close" to L whenever x is "close" to p. In other words, f(x) becomes closer and closer to L as x moves closer and closer to p.
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Jackson6612Which one should be used, near/nearer?It seems to me that you are talking about continuous changes dependent on the nearness of certain values. In other words there is probably no division of values into those that are near and those that are not near - no magic boundary. That sounds to me like the exact situation that requires "nearer".