In order to join a yoga club you have to pay an annual fee and a fee per class. At Yoga For Us the annual fee is $30 and $5 per
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Combining the terms into one fraction, we have
If this converges to 0 as , then the degree of the numerator must be smaller than the degree of the denominator.
To ensure this, take and
. This eliminates the cubic and quadratic terms in the numerator, and we do have
Alternatively, we can compute the quotient and remainder of the rational expression.
Then in the limit, we have
Both terms on the left vanish if and
.