If you have a large enough bank roll and continuously double your bet after a loss, you can never lose without a table limit.

Unless your bank roll is infinite, you always lose in the average case. My math was just an example to show the point with concrete numbers.

In truth it is trivial to prove that there is no winning strategy in roulette. If a strategy is just a series of bets, then the expected value is the sum of the expected value of the bets. Every bet in roulette has a negative expected value. Therefore, every strategy has a negative expected value as well. I’m not saying anything ground-breaking, you can read a better write-up of this idea in the wikipedia article.

If you don’t think that’s true, you are welcome to show your math which proves a positive expected value. Otherwise, saying I’m “completely wrong” means nothing.