Which elements of the infinite dihedral group have finite order? Do these elements form a subgroup of Doo?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 12E
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Which elements of the infinite dihedral group have finite order? Do these elements form a subgroup of Doo?

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