Which of the Following Series Converge?
A) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } + \sin n }$

question 128

Multiple Choice

Which of the following series converge?

• A) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } + \sin n }\)
• B) \(\sum _ { n = 1 } ^ { \infty } \frac { n } { ( 1 + n ) ^ { 3 } }\)
• C) \(\sum _ { n = 1 } ^ { \infty } \frac { \sin n } { n ^ { 2 } }\)
• D) all of these
• E) none of these

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Definitions:

Cognitive Dissonance

A psychological conflict resulting from incongruous beliefs and attitudes held simultaneously.

Cognitive Dissonance

A psychological concept involving the discomfort experienced when holding conflicting beliefs or attitudes, leading to an alteration in one or more of these beliefs to reduce the discomfort.

Counterattitudinal Behaviour

Engaging in behaviors that are contrary to one's personal beliefs or attitudes.

Persuasive Communications

Messages designed to influence the attitudes or behaviors of others through the use of argument, information, or appeals.