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]])

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Limit Error - Mathematica

**Physics Forums | Science Articles, Homework Help, Discussion**