Find the limit of the sequence 
.
Definitions:
Medical Assistant
A healthcare professional responsible for administrative and clinical tasks in hospitals, doctor's offices, or other healthcare facilities.
Shampoo Carpet
The cleaning of carpets using a specially-formulated shampoo to remove dirt and stains.
Older Americans Act
is a federal law enacted in 1965 to support a range of social services and programs for individuals aged 60 and older, including nutrition programs, caregiver support, and community-based services designed to promote independent living.
Elderly Population
A demographic group consisting of individuals typically aged 65 and older, often considered in the context of healthcare, social policy, and welfare.
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