What is the Limit of the Half Bracket Operator?

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Homework Help Overview

The discussion revolves around the limit of the expression involving a half bracket operator, specifically [theta] / theta as theta approaches 3 from the left. The original poster expresses confusion regarding the meaning of the half bracket operator, which is suggested to represent the floor function.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the half bracket operator and its implications for the limit calculation. Some participants clarify that it refers to the floor function, while others question the distinction between the floor and ceiling functions.

Discussion Status

The discussion is ongoing, with some clarification provided about the floor function. However, there is still uncertainty regarding the original poster's understanding of the half bracket operator and its application in the limit problem.

Contextual Notes

The original poster is working within the constraints of a homework assignment and is seeking clarification on the notation used in the problem statement.

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Homework Statement



the limit of [theta] / theta

as theta goes to 3 from the left hand side

The brackets though, are only the bottom half of a bracket, like an L and the mirror image of an L around the theta. The solution manual shows the answer is 2/3. I'm really quite confused on what the half bracket operator could be. Thanks in advance.
 
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It's the floor function. It means that you round down to the closest whole number.

So for example floor(9.6) would be rounded down to 9.
 
Last edited:
Uh, aren't ceil and floor different? You defined one and then used the other in your example. Sorry to nitpick. :)
 
Hehe, typo -- fixed
 

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