Remember, in the first definition, what happens there is a "possible exception". $\delta$ can't be zero, as then the only $x$ value we would be considering would be $c$ itself, which is precisely the value of $x$ we don't care about!įinally, we restrict our conclusions to $0 < |x - c|$ to purposefully avoid placing any restrictions on what happens at $x=c$. $\delta$ also represents a distance, so it can't be negative and We require $\delta > 0$ for similar reasons: Intuition can influence judgment through either emotion or cognition, and there has been some suggestion.
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