Before you touch change any of the adjustments, make sure that you're not trying to shift under load. This is especially critical when changing from a smaller to bigger chainring. Pedal pressure keeps the top loop under tension and it needs slack to climb to a bigger ring. Try shifting with just enough pedal force to keep the chain moving, but not enough to make it tight.
If it does need adjusting, it will be the trim (aka cable tension) adjusting barrel, which may be at the levers, or inline on the cable. Tighter the cable to bring the FD out a bit more in each click, and try to find the best balance for good shifting in either direction. The limits shouldn't be touched if it used to shift fine, and now doesn't.
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