The years limitation is as follows:
- You can claim the American Opportunity Credit (formerly the Hope Credit) on 4 years of tax returns.
- The credit is available for the undergraduate years of college (usually 4 years).
The hope credit has existed since tax year 1998 (from what I can
find). If there have been 4 years that you were in school for more than
half time from 1998-2016, you likely would have used up your AOC tax
credits.
IRS tax return transcripts go back for the past 6-10 years (at the most).
I hope that this answered your question and if you have any other questions please let me know.