Try adjusting the 'H' limiting screw (usually the outer screw on top of the front derailleur.)
I would suggest that anyone who does not know what they are doing does NOT adjust the limit screws.
This is far more likely to be a cable tension problem.
Obviously difficult to diagnose at a distance but try this first:
Move the chain on the smallest cog at the front. Check for any slack in the cable (where it is bare wire - not in the housing)
Is there a cable adjuster anywhere? if so, wind it anti-clockwise a half turn at a time until it works.
if not, undo the bolt that holds the wire into the front derailleur. Remove any slack - pull it with pliers if necessary. Retighten the bolt.