Find All Positive Values Of $u$ For Which the Series $\sum _ { m - 1 } ^ { \infty } 6 u ^ { \mathrm { m } 7 m }$

question 42

Multiple Choice

Find all positive values of $u$ for which the series $\sum _ { m - 1 } ^ { \infty } 6 u ^ { \mathrm { m } 7 m }$ converges. Select the correct answer.

• A) \(u > 7\)
• B) \(6 < u < \frac { 7 } { e }\)
• C) \(0 < u < \frac { 1 } { e }\)
• D) \(u < 6\)
• E) \(u > \ln 7\)

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