Just before Christmas I purchased an Aerogarden and was growing dill, thyme and Basil (I don't think it is sweet basil though) Well one week I forgot to put water in the reservoir and both the dill and thyme died, but the basil came back and is still going strong. I have had to cut and finely chop some when it gets too big, and then freeze. Other times, eat it faster than it grows ....lol I love the taste in tomato dishes. It is so much better than dried.
I plan on starting a table top (indoor) garden this spring, and try some different herbs....
If you get a chance to grow some of your own herbs, it would be worth the effort. FRESH gives good such a different, marvelous flavour. Good luck.