Use the binomial series to expand the function $\sqrt { 4 + x }$ as a power series. Give the coefficient of $x ^ { 2 }$ in that series.
A) $- \frac { 1 } { 8 }$
B) $- \frac { 1 } { 32 }$
C) $- \frac { 1 } { 64 }$
D) $\frac { 1 } { 8 }$
E) $\frac { 1 } { 32 }$
F) $- \frac { 1 } { 16 }$
G) $\frac { 1 } { 64 }$
H) $\frac { 1 } { 16 }$

Question

Use the binomial series to expand the function $\sqrt { 4 + x }$ as a power series. Give the coefficient of $x ^ { 2 }$ in that series.
A) $- \frac { 1 } { 8 }$ 
B) $- \frac { 1 } { 32 }$ 
C) $- \frac { 1 } { 64 }$ 
D) $\frac { 1 } { 8 }$ 
E) $\frac { 1 } { 32 }$ 
F) $- \frac { 1 } { 16 }$ 
G) $\frac { 1 } { 64 }$ 
H) $\frac { 1 } { 16 }$

Quizplus · Accepted Answer

The Answer of Use the binomial series to expand the function $\sqrt { 4 + x }$ as a power series. Give the coefficient of $x ^ { 2 }$ in that series.
A) $- \frac { 1 } { 8 }$ 
B) $- \frac { 1 } { 32 }$ 
C) $- \frac { 1 } { 64 }$ 
D) $\frac { 1 } { 8 }$ 
E) $\frac { 1 } { 32 }$ 
F) $- \frac { 1 } { 16 }$ 
G) $\frac { 1 } { 64 }$ 
H) $\frac { 1 } { 16 }$

Use the Binomial Series to Expand the Function 4+x\sqrt { 4 + x }4+x​

Use the Binomial Series to Expand the Function $\sqrt { 4 + x }$