Sift together the flour, sugar and salt into a large bowl.
Form a well in the centre and add the egg yolk.
Stir to combine then add the milk and butter.
Beat with a wire whisk until the batter is smooth and lump-free.
Add the egg white to a clean and dry bowl, then beat until stiff.
Gently fold into the batter along with the lime zest.
Peel the bananas and cut into slices.
Heat the oil in a pan. When hot dip the banana slices in the batter and immediately drop into the hot oil.
Fry until nicely browned and heated through.
Remove with a slotted spoon and drain on kitchen paper as you cook the next batch.
Serve hot, dusted with icing sugar.