Use the Direct Comparison Test (If Possible) to Determine Whether $\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } } { 8 ^ { n } + 1 }$

question 67

Multiple Choice

Use the Direct Comparison Test (if possible) to determine whether the series $\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } } { 8 ^ { n } + 1 }$ converges or diverges.

• A) diverges
• B) converges

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Definitions:

Depressant

A substance that reduces the functional or nervous activity, often used to describe drugs that have a calming effect on the mood, emotions, or behavior.

Tranquilizers

Medications that are used to reduce tension and anxiety.

Sedatives

Substances or drugs that reduce excitement, irritability, or nervousness by inducing a calming effect on the central nervous system.

Opiates

A group of drugs derived from opium, used for pain relief, and can also induce sleep or euphoria.