Dude, mountain lions svck at all levels. I run like hell.
Need more info on dat other stuff.
Majors. Class.
Didja have any long conversations a while back with the Grey Prince before you met him in battle?
A couple of things come to mind immediately. 1. Are you repairing your equipment? 2. Have you been leveling up a lot of non-combat skills?
A Mountain Lion is a pretty fearsome beast to face at level 9. It is a level 10 creature. It has 160 Health and 32 attack damage. There is no shame in running away until you have gained a level or two.
What is your armor rating when all armor + shield and weapons are equipped? What specific light armor are you wearing? What sword? What level are the following skills:
- Blade?
- Light Armor
- Block
By level 9, you should ideally be wearing full chainmail armor - at level 10 Mithril will start showing up in loot. That will unfortunately only give you an armor rating of 30% at maximum, which means 30% of incoming physical damage would be absorbed by it, assuming it is at full 100% health.
You can greatly increase your armor rating by using enchantments that grant Shield or any of the Fire/Frost/Shock Shield protections. If you haven't yet or don't choose to join the Mages Guild for access to their custom enchantment altars, you can still normally find assorted rings/necklaces/armor with enchantments as random loot or quest rewards.
If you are a combat-oriented player, then doing the Fighters Guild questline can net you some decent rewards, including access to some better armor early. If you are closing Oblivion gates, then you should be occasionally getting some useful Sigil Stones which you can use to create enchanted weapons and armor depending on the particular spell effects from the stones.
When you are leveling up, are you paying attention to the attribute multipliers (+2, +3, +4, +5)? For the most powerful character you should be trying to get a few +5s in there, if not all +5s in all three attributes you plan to increase that level. Especially important is Endurance, since your character's Health stat is based on that, and it's cumulative, since at each level up your health increase is determined by your total Endurance. So you want to raise that one early and often.
To increase your damage output, use Alchemy to create poisons and poison your weapons. Even a simple Damage Health potion which can be created by any Novice just using the same ingredients you collect in the training dungeon can help. If you have access to the Arcane University and can create custom spells, a short duration of 100% for 5 to 7 seconds of Weakness to
Those are just some general suggestions. Without seeing your character build and current stats its hard to see exactly what you might need to change.