Determine the convergence of a series by comparing it to a geometric series.

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Convergence of a Series with an Exponential Denominator

Sequences core

Determine whether \( \sum_{n=1}^{\infty} \frac{1}{2^n-3} \) is convergent.

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Tests the ability to choose an appropriate comparison series and algebraically verify the required inequality for the Direct Comparison Test.

This is a standard problem in a Calculus II course when learning convergence tests for infinite series.