What do these wierd square brackets mean? [| |]

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SUMMARY

The discussion centers around the interpretation of the notation [| x - 1|] in a limit problem from BC Calculus homework. Participants clarify that the square brackets represent the floor function, also known as the greatest integer function, while the vertical bars denote the absolute value function. The limit expression lim [| x - 1 |] as x approaches 4 evaluates to 3, but the limit does not exist due to the nature of the floor function. Understanding these functions is crucial for solving similar calculus problems.

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What do these weird square brackets mean? [| |]

Homework Statement


In my BC Calc summer homework (taking the course next school year), I came across these odd square brackets in a limit problem and have no clue what they mean. I've looked all over the internet and cannot find anything similar. They're like [] but have two vertical lines on each bracket instead of the just one.

this is the best representation I can give:
[| x - 1|]

The problem is this:
lim [| x - 1 |]
x -> 4

Homework Equations


N/A


The Attempt at a Solution


For now I just kind of ignored the brackets and just plugged in 4 for x and got 3.


Please help! I am thoroughly confused and extensively frustrated. >=(
 
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the inside bars stand for the absolute value function. the outer brackets stand for the floor function I guess. I hope I understood your post correctly.
 
Last edited:


renegade109 said:

Homework Statement


In my BC Calc summer homework (taking the course next school year), I came across these odd square brackets in a limit problem and have no clue what they mean. I've looked all over the internet and cannot find anything similar. They're like [] but have two vertical lines on each bracket instead of the just one.

this is the best representation I can give:
[| x - 1|]

The problem is this:
lim [| x - 1 |]
x -> 4

Homework Equations


N/A

The Attempt at a Solution


For now I just kind of ignored the brackets and just plugged in 4 for x and got 3.Please help! I am thoroughly confused and extensively frustrated. >=(

I think these brackets ( [ ] ) represent greatest integer function. [x] means greatest integer less than equal to x. In all the question that i have faced if it ( [ ] ) represent greatest integer function then it is mentioned in the question. Is it mentioned in your case ?

and | | modulas function. You need to learn this from book. And i am sure that it is modulas function
You need to learn about these two function before doing question.
I am not sure that [ ] represent greatest integer function if it is not mentioned.

what is answer it that limit does not exist.todays I am also learning limits.
 
Last edited:


Did they look more like ⟦ and ⟧ ? (I super-sized them for clarity.)

Added in Edit:

Assuming that the symbols ( ⟦ , ⟧ ) are correct, they are used to represent the greatest integer function, also known as the 'floor function'. See this http://www.mathwords.com/f/floor_function.htm" .

I suspect that there is no absolute value involved at all, simply the floor function.
 
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