We did. However, we went there for almost 2 weeks. We only stay in 台北 for 2 nights (1 day). I don't like 台北, a poor, old city......... We rent a car in 台北, then dirve to the Nouth part of Taiwan. Then, we drive to the centel of Taiwan, to the mountain in the center of Taiwan, then drive to the South part, and finally East part ......
I can tell you that the hot spring and beach (sea) in the South and East part of Taiwan are very good !