The sentence with no spelling error is:

"I was recently at a literary festival."

Explanation of each option:

1. "I was rently at a literary festival."

   • Error: The word "rently" is misspelled. The correct spelling is "recently."
   • Correction: "I was recently at a literary festival."

2. "I was recently at a litrary festival."

   • Error: The word "litrary" is misspelled. The correct spelling is "literary."
   • Correction: "I was recently at a literary festival."

3. "I was recently at a literary festival."

   • No spelling errors. This is the correct sentence.

4. "I was recently at a literery fstival."

   • Errors: The word "literery" is misspelled, and the word "fstival" is missing the letter "e."
   • Correction: "I was recently at a literary festival."