Find the MacLaurin series and its interval of convergence. 
Definitions:
Egocentrism
A cognitive bias where individuals overemphasize their own point of view, disregarding or underestimating others' perspectives or feelings.
Crib Mobile
A hanging structure with objects or toys attached, placed above a baby crib to entertain or soothe the infant.
Carolyn Rovee-Collier
A prominent psychologist known for her extensive research on infant memory and learning processes.
Jean Piaget
A Swiss psychologist known for his pioneering work in child development, particularly his theory of cognitive development.
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