SigJenny is a FREE audio generator program. But,
be very careful! You can easily burn-out a tweeter with a signal generator (if it's not blown already). It only takes a few watts to burn-up a tweeter, and you might not hear anything because the test-tone can be above the tweeter's range, or above your hearing range.
I also found a sample of
Pink Noise. This is safer than pure test tones. I assume you can find some white noise (more high-frequency content) at the same web site.
Another option is a
Test CD.
If the speaker grill is removable, you can just play some music and put your hand over the tweeter. You should hear a difference if the tweeter is working. You can try the same experiment with pink or white noise (Or, with interstation FM hiss, if you can turn-off the interstation muting on your FM receiver.)
If you suspect that only one speaker has a blown tweeter, you can play pink or white nose and compare the two channels.
QUOTE
There were power outage during "break-in" period. I am afraid that sudden power spike could have produced sound spike destroying the tweeter.
I would not expect a short-duration spike to blow-out a tweeter. It usually takes sustained high-frequency high-power to do damage. A power-spike is more likely to damage the electronics than the speaker. But, there could have been something else in in your "burn in" protocol that damaged it.