Find the Interval of Convergence of the Series $$\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { ( \mathrm { x } - 3 ) ^ { \mathrm { n } } } { 9 + 7 \mathrm { n } }$$

question 35

Multiple Choice

Find the interval of convergence of the series.
- $$\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { ( \mathrm { x } - 3 ) ^ { \mathrm { n } } } { 9 + 7 \mathrm { n } }$$

• A) \(- 4 < x < 10\)
• B) \(\frac { 11 } { 9 } < x < \frac { 43 } { 9 }\)
• C) \(- 4 \leq x \leq 10\)
• D) \(2 \leq x < 4\)

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