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How Many Terms of the Series m=2126m(lnm)2\sum _ { m = 2 } ^ { \infty } \frac { 12 } { 6 m ( \ln m ) ^ { 2 } }

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How many terms of the series m=2126m(lnm)2\sum _ { m = 2 } ^ { \infty } \frac { 12 } { 6 m ( \ln m ) ^ { 2 } } would you need to add to find its sum to within 0.02?0.02 ?


Definitions:

Styles of Listening

Different ways of listening in communication, including active, passive, selective, and empathetic listening.

Outlining Process

The method of organizing thoughts or information into a structured summary, often used as a preliminary step in writing or project planning.

Main Ideas

The central or most important concepts or arguments presented in a text.

Intensive Listening

Focused and attentive listening aimed at understanding and analyzing the content of an audio message.

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