Jared has taken out a loan for his car. His monthly payments amount to $650. If his loan is for 36 months, and he paid a down pa
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Employ a standard trick used in proving the chain rule:
The limit of a product is the product of limits, i.e. we can write
The rightmost limit is an exercise in differentiating
For the leftmost limit, we make a substitution
which in turn is the derivative of
So we find that