1. "I like to eat fast food"

2. "i like eating fast food"

1 is correct. 2 should have capitalized the I. Other then that minor typo 2 is fine. They mean the same thing. They just say it a different way.

1. "I like to eat fast food"

2. "i like eating fast food"

1 is correct. 2 should have capitalized the I. Other then that minor typo 2 is fine. They mean the same thing. They just say it a different way.

As Buzz Lightyear never said, "To infinitive, and gerund!"