You should not plan to exceed NDLs without additional training.
If you accidentally exceed NDLs, your computer will tell you what to do. Unfortunately, that will do you no good if you do not know what it is telling you. Read your manual carefully to see how your computer will guide you through an accidental decompression procedure.
Some computers are true decompression computers and can be used as such. Most computers however, will clearly state that they should not be used as such, and that the decompression information they give is for unintended violations of the NDLs.
What if the battery fails on the dive?
If you are diving near the NDL you should have a clear understanding of what you are doing. Relying on a computer for this is foolish in my opinion. Whether you are diving a computer, bottom timer, or timing & depth device, you should understand where you are going and what you are doing. Use the computer for a back-up or to affirm what you should already know.
I have done a relatively straight forward dive in my area with different divers. The dive is the "Kinghorn" in Rockport, Ontario. It is about 92' to the bottom and is square profile with an upline at the bow and stern. The thing about this dive is that NDL's come really quickly. If you are ready for it it is no big deal but I've dived it when a buddy flipped when he saw that he was at his NDL. He bugged out and raced to the line and then raced up the line until the deco obligation went away. He stopped at 40-50 foot and waited for me. I photographed him from the block shooting up and got some really great shots. For about a minute or 2 we were both alone on the dive. I had a redundant set up and he did not. I won't do that dive with him again.