Question

Show that lim x tends to 2 [[x]] does not exist.
Also plot in a graph.
Ayone to help me?

Answer 1

step function, has a jump at 2

Answer 2

i assume this is the "greatest integer function, so that [[x]] means greatest integer less than or equal to x, so for example [[2.3]] = 2, [[-2.3]]= -3

Answer 3

function is also some times called "floor" and here is a nice picture, which will explain why it is called a "step function" and also why the limit as you approach 2 does not exist. from the left it is 2, from the right it is 3
http://www.wolframalpha.com/input/?i=floor%28x%29

Answer 4

ok,thanks . cn u explain to me hw to plot the graph ?