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ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 4} ([[x]] 7)\]

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1greatest integer function, it will be a horizontal line from (3<=x<4)

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0yea i have seen graphs of these functions

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0but i have no idea how to graph one myself

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0i am assuming if I graphed this I could see the limit

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0which according to the book is 8

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1You're approaching x=4 from the left, correct?

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0they need a grapher on this site

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1If you're approaching 4 from the left, [[x]] will be 3

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0so how to i determine the points i need to plot on [[x]]7

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0you have to take into account the 7

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1It's just the graph of f(x)=[[x]] shifted down 7 units

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0well the book says 8 so .... >.<

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1If you were approaching from the right, [[x]] would be 4

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1so you don't know how to graph the greatest integer function?

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0i know what they look like

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0but not how to graph one given an equation

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0yea how do i know to start at 0 and stop 1

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0then start at 1,2 and stop at 2,1

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1greatest integer function definition, [[x]] is the greatest integer less than or equal to x

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1f(x)=[[x]] f(3.999999999999999999999)=3 f(3)=3 f(4)=4

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0so by definition if x=1 then [[x]] is x>= 1

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1Just think of it as going down the steps instead of up...you'll start as close as you can to [[x]]+1 and end up at [[x]]

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1but you're not actually starting at [[x]] + 1

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1it is defined at all integers, but not continuous at any integer

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0so if I were doing 5[[4]]7 i would plot from (4,13) t0 (5,13) with an open point at (5,13)?

rickjbr
 3 years ago
Best ResponseYou've already chosen the best response.1yes, open circle at (5,13), closed at (4,13)

ChrisV
 3 years ago
Best ResponseYou've already chosen the best response.0and if it happened to be [[x]] i would just reflect
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