You can refer to the answer to see the different values you get when you sub in omega,anyway,the rough sketch of the magnitude response from 0 to pi that I got looks like this:
**broken link removed**
Looking at the magnitude response it looks like a band stop filter to me,but the answer provided said that it was a low pass filter? Is the answer wrong maybe?Or am I doing something wrong?
For a band stop filter the right side of the response gain after 2*pi/3 would be as large as the left side. The response at pi is much less then the response at 0 (assuming we are looking at a log or dB plot). This means the response is a low pass filter (with ripple in the stop band).
Sometimes you have to look at more of the response too. If you look at only part of a response it may look like a bandstop but if you look at more of it you'll see that the hills go up and down several times (looks like a hair comb) but the general tendency is to decrease with frequency so overall it's still a low pass filter.
I havent checked this actual response myself (yet) but from what others are saying that's most likely what threw you off.