$\text { Consider the function given by } f ( x ) = \sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 9 } \right) ^ { n } \text {. Find the interval of convergence }$ for $\int f ( x ) d x$
A) $( - 9,9 )$
B) $( - 9,0 ]$
C) $[ - 9,9 ]$
D) $[ - 9,9 )$
E) $( 0,9 )$ .

Question

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The Answer of $\text { Consider the function given by } f ( x ) = \sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 9 } \right) ^ { n } \text {. Find the interval of convergence }$ for $\int f ( x ) d x$
A) $( - 9,9 )$
B) $( - 9,0 ]$
C) $[ - 9,9 ]$
D) $[ - 9,9 )$
E) $( 0,9 )$ .

For ∫f(x)dx\int f ( x ) d x∫f(x)dx A) (−9,9)( - 9,9 )(−9,9)

For $\int f ( x ) d x$ A) $( - 9,9 )$