Problem: After looking at the graphs of, ,, , ,

let's expect for the graph of , .

Let's take a look at
                               

The graph looks like

Let's take a look at

The graph looks like

Let's take a look at

The graph looks like

Let's take a look at

The graph looks like

From the four graphs we can expect the graph of  looks like  almost square retangle
and the graph of  looks like more strict line at the corners

Actually let's check the graphs of . and .

The graph of 

The graph of 

So, we can conclude  that if n is a large even number, then the graph of  looks like a square rectangle more and more as n increases.
and if n is a large odd number, then  the graph of  looks like a triangular shape.

Return to the Top