What is the Limit of the Half Bracket Operator?

[icosane]

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.

 

[Feldoh]

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.

 

[Dick]

Uh, aren't ceil and floor different? You defined one and then used the other in your example. Sorry to nitpick. :)

 

[Feldoh]

Hehe, typo -- fixed