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

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Homework Help Overview

The discussion revolves around the interpretation of unusual square brackets in a limit problem encountered in a BC Calculus summer homework assignment. The original poster expresses confusion regarding the notation [| x - 1|] and its meaning in the context of limits as x approaches 4.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the meaning of the square brackets, with some suggesting they represent absolute value and others proposing they indicate the greatest integer function (floor function). There is uncertainty about whether the notation is standard or if it has been defined in the homework.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Some participants provide insights into potential meanings of the notation, while others express their own confusion and seek further clarification.

Contextual Notes

There is mention of a lack of explicit definitions in the homework regarding the notation used, leading to differing interpretations among participants. The original poster has attempted to evaluate the limit by substituting a value but remains unsure about the notation's implications.

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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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