A middle school band uses a company to manage its fundraisers. The company charges a fee of $260 per fundraiser for its services
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I believe the given limit is
Let
Now rewrite the expression as a difference of cubes:
Then
The limit is then equivalent to
From each remaining cube root expression, remove the cubic terms:
Now that we see each term in the denominator has a factor of <em>x</em> ², we can eliminate it :
As <em>x</em> goes to infinity, each of the 1/<em>x</em> ⁿ terms converge to 0, leaving us with the overall limit,