ap-calculus-bc 2012 Q5

ap-calculus-bc · Usa · practice-exam Taylor series Identify a closed-form function from its Taylor series
The Maclaurin series for the function $f$ is given by $f ( x ) = \sum _ { n = 0 } ^ { \infty } \left( - \frac { x } { 4 } \right) ^ { n }$. What is the value of $f ( 3 )$ ?
(A) - 3
(B) $- \frac { 3 } { 7 }$
(C) $\frac { 4 } { 7 }$
(D) $\frac { 13 } { 16 }$
(E) 4
The Maclaurin series for the function $f$ is given by $f ( x ) = \sum _ { n = 0 } ^ { \infty } \left( - \frac { x } { 4 } \right) ^ { n }$. What is the value of $f ( 3 )$ ?

(A) - 3

(B) $- \frac { 3 } { 7 }$

(C) $\frac { 4 } { 7 }$

(D) $\frac { 13 } { 16 }$

(E) 4