I was using Mathematica to find the limit of the equation:(adsbygoogle = window.adsbygoogle || []).push({});

(x^3*Floor[x - 3])/(x - 3)

As x approaches 3.

Mathematica gave the answer as 0, but when I checked by hand, I did not get that.

As the function approaches 3 from the left side, it goes to positive infinity. As the function approaches 3 from the right side, it goes to 0. Since the two one-sided limits do not equal each other, shouldn't the limit at 3 not exist?

(The Floor[x-3] function I used was to represent the Step-function [[x-3]])

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# Limit Error - Mathematica

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