Determine Whether the Series $\sum _ { n = 1 } ^ { \infty } \ln \left( \frac { 2 n - 1 } { 2 n + 1 } \right)$

question 207

Short Answer

Determine whether the series $\sum _ { n = 1 } ^ { \infty } \ln \left( \frac { 2 n - 1 } { 2 n + 1 } \right)$ is convergent or divergent. If it is convergent, find the sum.

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Definitions:

Perceptual Biases

Psychological tendencies that cause the misinterpretation or distortion of a sensory stimulus or judgment.

Selective Perception

The process by which individuals perceive what they want in media messages while ignoring opposing viewpoints.

Normative Influence

The impact of societal norms and expectations on an individual's behavior, often leading to conformity.

Informational Influence

The effect of others' opinions and knowledge on an individual's own attitudes, beliefs, and actions, based on the desire to be correct.