Find the limit, if it exists. 
Definitions:
Monthly Payments
Regular payments made once a month, typically used in contexts such as loans, mortgages, and subscription services.
Compounded Annually
The calculation of interest on both the initial principal and the accumulated interest from previous periods on a yearly basis.
Yearly Contributions
The total amount of money added to a fund or investment over the course of a year.
Rate of Interest
The percentage of a sum of money charged for its use, often expressed annually.
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