there is a simple way to get your limits ;-)

When you reach the Wutai-continent, buy a lot of tents and use Aqualung! there are 3-5 Enemies in each battle, which will instantly be knocked of with Aqualung!

When you have a meeting with those lightning birds, stay there and catch some of their Bolt attacks to enable your limitattacks!
(be sure that no one is immune to bolts!)

It wouldn't take too long to bring a 3-person-party to its level3-limits!

You get enough money to buy lots of tents here and, a nice sideeffect, you get tons of Phoenix Downs & X-Potions

PS: All kind of attacks are counting!