Unduly means in an unjustifiable manner or to an excessive
degree. She unduly worried about her test score and her grade for
the class.
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Unduly is an adverb. It is used to modify adjectives or other adverbs to indicate that something is excessive or inappropriate.
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1. immoderately; excessively
2. in contradiction of moral or legal standards
so
1. she was unduly optimistic
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The word "unduly" appears on page 58 in the book "Hatchet" by Gary Paulsen. It is mentioned in the sentence: "He smiled, not at all unduly proud of himself, and began to rifle through the contents of the pack."