Why doesn't 

produce anything?

I guess this is some kind of tricky function since for non-integer x it seems not to correspond to a real number.

This came up for me when thinking about a sequence n(c^n), where |c|<1.

Is there some way to plot the values of a sequence? 

Is it possible to write 

as a polynomial in 

? This is a math question first of all. If it is possible, how do we do it in Maple.

For context, I am investigating a particular line of inquiry into answering this question about computation of Taylor polynomial.

How do we truncate a polynomial in Maple, that is, obtain only the terms of degree <= n?

For example, if 

then the truncation [P(x)]4 is

and the truncation [P(x)]₂ is

How do we plot the least integer function [x]?

I am referring to a function with the following graph

I'd like to plot the graph in polar coordinates of the function r=f(t)=2/cos(t), which should be a vertical line parallel to the y-axis. I've tried it with two different commands, and below you can see the results

plot(2/cos(theta), coords = polar)

What is going on here?

I then tried using polarplot from the plots package.

with(plots):

polarplot(2/cos(t), t = 0 .. 2*Pi)

Shouldn't the graph be a vertical line at 2?

Notice that if I plot two similar plots

polarplot([1/cos(t), 2/cos(t)], t = 0 .. 2*Pi)

The same result is obtained

What is going on here?