Android 2.1 and Number of Multiple Gmail Accounts

[Darrkman]

I have a Sprint Hero running Android 2.1. How many Gmail accounts can Androind 2.1 handle? For example I have 2 gmail accounts coming into my Hero using the gmail app. When I tried adding a third I can't get my phone to recognize the new account and sync it. Is there a limit to the number of accounts you can sync?