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elleblythe
 one year ago
Greatest Integer Function: In defining [[13x]], As x>0+, 13x>1*, [[1]]=0, why is the sign of the 1* negative? How will we know if it is negative or positive?
elleblythe
 one year ago
Greatest Integer Function: In defining [[13x]], As x>0+, 13x>1*, [[1]]=0, why is the sign of the 1* negative? How will we know if it is negative or positive?

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elleblythe
 one year ago
Best ResponseYou've already chosen the best response.1Also, in defining [[4x]], how did we come up with 3 and 2? I'm not asking for the solution, just the definition. No solving is needed for these questions.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1[x] is the greatest "integer" less than or equal to x

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1for example [3.5] = 3

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1see if you can find [2.88]

elleblythe
 one year ago
Best ResponseYou've already chosen the best response.1@ganeshie8 Yeah I understand how to find the greatest integer function but my professor requires us to define the greatest integer function, and I'm just wondering how to know the sign of 1*? Why is it ()?

elleblythe
 one year ago
Best ResponseYou've already chosen the best response.1@ganeshie8 Take a loot at the screenshot I posted for a clearer picture of what I'm trying to say.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Yes, can you answer my earlier question

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1great! just making sure :) lets get to the question in attachment

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435246737205:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\(x\to 1^{+}\) means you're approaching \(1\) from the right hand side, so let \(x=1.001\) maybe

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1[1.001] = ? [41.001] = ?

elleblythe
 one year ago
Best ResponseYou've already chosen the best response.1@ganeshie8 So how about the ()??

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435247060087:dw

elleblythe
 one year ago
Best ResponseYou've already chosen the best response.1@ganeshie8 Sadly, I can't skip it because my teacher requires us to write it down in our exams. How do we know if the value inside the [[]] is coming from the right or left?

elleblythe
 one year ago
Best ResponseYou've already chosen the best response.1@ganeshie8 And how did she come up with 3 and 2 in defining [[4x]]?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\[4n\ge x\gt 3n\] it was just a guess, you plugin \(n=3\) : \[43\ge x\gt 33\\~\\1\ge x\gt 0\] which is not what we want so discard this and plugin \(n=2\) in next trial

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435247787651:dw

elleblythe
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435248013287:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1when you substitute \(x=1^{+}\) into \(4x\), you do get something less than \(3\), which is expressed mathematically as \(3^{}\), yes ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1here is how we interpret ,+ in the top of a number : \(3^{+}\) : right of \(3\) (example : 3.001) \(3^{}\) : left of \(3\) (example : 2.999)

elleblythe
 one year ago
Best ResponseYou've already chosen the best response.1@ganeshie8 Okay I understand now, thank you very much!
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