What Does the Ratio Test Tell Us About the Series $\sum_{n=1}^{\infty} \frac{n}{2^{n}}$

question 43

Multiple Choice

What does the ratio test tell us about the series $\sum_{n=1}^{\infty} \frac{n}{2^{n}}$ ?

• A)The series converges.
• B)The series diverges.
• C)The ratio test doesn't tell us anything about the convergence of the series.

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