At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

See more answers at brainly.com

\[\lim_{x \rightarrow 4-} ([[x]] -7)\]

greatest integer function, it will be a horizontal line from (3<=x<4)

yea i have seen graphs of these functions

looks sorta like steps

yes

but i have no idea how to graph one myself

i am assuming if I graphed this I could see the limit

which according to the book is 8

You're approaching x=4 from the left, correct?

they need a grapher on this site

yes from the left

If you're approaching 4 from the left, [[x]] will be 3

so how to i determine the points i need to plot on [[x]]-7

you have to take into account the -7

yes, so -4 overall

It's just the graph of f(x)=[[x]] shifted down 7 units

well the book says 8 so .... >.<

oh i know why

i missed a 5 lol

5[[x]]-7

so to graph this

yes, so 5(3)-7=8

If you were approaching from the right, [[x]] would be 4

yes i understnad that

so you don't know how to graph the greatest integer function?

nope i dont

i know what they look like

but not how to graph one given an equation

|dw:1329178784965:dw|

that is f(x)=[[x]]

for 0-3

yea how do i know to start at 0 and stop 1

then start at 1,2 and stop at 2,1

oops 1,1

greatest integer function definition, [[x]] is the greatest integer less than or equal to x

f(x)=[[x]]
f(3.999999999999999999999)=3
f(3)=3
f(4)=4

so by definition if x=1 then [[x]] is x>= 1

i mean <=1

if x=1, [[x]]=1

but you're not actually starting at [[x]] + 1

so an open circle

it is defined at all integers, but not continuous at any integer

so if I were doing 5[[4]]-7 i would plot from (4,13) t0 (5,13) with an open point at (5,13)?

yes, open circle at (5,13), closed at (4,13)

and if it happened to be [[-x]] i would just reflect

across the y axis, yes

thanks

np