Here is the definition of the limit of f(x) is equal to L as x approaches a:(adsbygoogle = window.adsbygoogle || []).push({});

"For every positive real number ϵ > 0 there exists a positive real number δ > 0 so that whenever 0 < |x − a| < δ, we have |f(x) − L| < ϵ."

But what is the difference if I use this definition?

"For every positive real number δ > 0 there exists a positive real number ϵ > 0 so that whenever 0 < |x − a| < δ, we have |f(x) − L| < ϵ."

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# Definition of a Limit: Subtle Differences

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