Question: if you are given an unknown lens, and an object is fixed in place at a set distance from the lens, and you are unable

if you are given an unknown lens, and an object is fixed in place at a set distance from the lens, and you are unable to generate the image of the object on a screen no matter where you move the screen. would this information be enough to determine if a lens is converging or diverging? if yes, please explain. if not, what other information would be required?

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