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Peel sweet potato and cut into 1/2 inch cubes.
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Place in steamer basket over boiling water, cover and cook for 5 minutes.
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Add broccoli and cook, covered, for 4 minutes or until tender-crisp.
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While vegetables are steaming, whisk eggs, salt & pepper together in a bowl and set aside.
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In 9 inch ovenproof skillet, heat oil over medium heat and cook onion, garlic and tarragon, stirring, for 2 minutes or until softened.
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Arrange sweet potato/broccoli mixture over skillet and pour egg mixture over top.
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Reduce heat to medium-low, cover and cook for about 12 minutes or until bottom is golden and edge is set but centre still jiggles a bit.
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Sprinkle cheese over top and broil for 2 to 3 minutes or until light golden and cheese is bubbly (if skillet is not ovenproof, wrap handle in double thickness of foil).