My little Betta has a huge hunk missing from his tail. At first i thought that he was biting his fins but it hasn't gotten any worse and this makes me wonder if that's what really happened. My next thought was fin rot but i don't see any discoloration and he isn't acting sick at all. Could someone take a look at his pic and tell me if I'm missing something obvious? I haven't had much experience with tail rot so perhaps I'm missing the discoloration?

Oh and before someone yells at me he does NOT live in the jar the picture shows him in...it was temporary just to clean his tank yesterday.
Housing
What size is your tank?---2.5 gallon
What temperature is your tank?---78/f
Does your tank have a filter?----yes
Does your tank have an air stone or other type of aeration?---no
Is your tank heated?----yes
What tank mates does your betta fish live with?---none
Food
What type of food do you feed your betta fish?
How often do you feed your betta fish?-----twice a day
Maintenance
How often do you perform a water change?----3 times a month
What percentage of the water do you change when you perform a water change?------100%
What type of additives do you add to the water when you perform a water change?----
Water Parameters:
Have you tested your water? If so, what are the following parameters?----no
Ammonia:
Nitrite:
Nitrate:
pH:
Hardness:
Alkalinity:
Symptoms and Treatment
How has your betta fish's appearance changed?
How has your betta fish's behavior changed?---it hasn't
When did you start noticing the symptoms?-----yesterday
Have you started treating your fish? If so, how?---water change
Does your fish have any history of being ill?---no
How old is your fish (approximately)?---------1y/o