Solved

 Find a power series for the function 24x356x2+29x5 centered at 0\text { Find a power series for the function } \frac { 24 x - 35 } { 6 x ^ { 2 } + 29 x - 5 } \text { centered at } 0 \text {. }

Question 108

Multiple Choice

 Find a power series for the function 24x356x2+29x5 centered at 0\text { Find a power series for the function } \frac { 24 x - 35 } { 6 x ^ { 2 } + 29 x - 5 } \text { centered at } 0 \text {. }


A)
n=0(15n+6n+1) xn\sum _ { n = 0 } ^ { \infty } \left( - \frac { 1 } { 5 ^ { n } } + 6 ^ { n + 1 } \right) x ^ { n }
B)
n=0(x5n+6n+1) xn\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 5 ^ { n } } + 6 ^ { n + 1 } \right) x ^ { n }
C)
n=0((1) n5n+6n+1) xn\sum _ { n = 0 } ^ { \infty } \left( \frac { ( - 1 ) ^ { n } } { 5 ^ { n } } + 6 ^ { n + 1 } \right) x ^ { n }
D)
n=0(x6n+5n+1) xn\sum _ { n = 0 } ^ { \infty } \left( - \frac { x } { 6 ^ { n } } + 5 ^ { n + 1 } \right) x ^ { n }
E)
n=0((1) n6n+5n+1) xn\sum _ { n = 0 } ^ { \infty } \left( \frac { ( - 1 ) ^ { n } } { 6 ^ { n } } + 5 ^ { n + 1 } \right) x ^ { n }

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