Peel the potatoes, onion, and garlic. Dice them finely.
In a pot, melt the butter over medium heat. Add the diced onion and garlic. Sauté until translucent, being careful not to burn them.
Add the potatoes to the pot, then pour in the vegetable broth. Bring to a boil, then reduce heat to medium and simmer for 15-20 minutes, or until the potatoes are completely tender.
Once the potatoes are tender, remove the pot from the heat and use an immersion blender to purée the soup until smooth.
Pour in the heavy cream and stir well. Season with salt, pepper, and dried tarragon. Reheat over medium heat, but do not boil.
Finally, add a tablespoon of lemon juice for a refreshing flavor. Stir thoroughly and serve hot.
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