Find the limit of a sequence involving exponential terms by dividing by the dominant term.

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Limit of a Sequence with Exponential Terms

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\(a_{n}=\frac{2^{n}}{3^{n}-5}.\)

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Tests the ability to identify the dominant term in a rational-like expression of exponentials and apply the limit of a geometric sequence.

This is a standard introductory problem in a Calculus II course covering sequences and series.