- Problem 1. This problem is about the ε n definition of a limit. (1) Write down the full definition of the ε first). - n definition of a limit. (Try from memory 1 (2) Verify, using the ε - n definition of a limit, that lim→∞ √ √n = 0. (3) Show that if limn→∞ an = L, then lim→∞ |an| = |L| using the εn definition of a limit. (Hint: Try an example/a picture example first to convince yourself that the statement is true!)