(a) use differentiation to find a power series representation for

f(x) =

1
(5 + x)2
.

f(x) =

?
sum. gif
n = 0

what is the radius of convergence, r?
r =

(b) use part (a) to find a power series for

f(x) =

1
(5 + x)3

1/(3+x)=(1/3)

1

(1−(−x/3))

1/(3+x)=(1/3)1(1−(−x/3))

Use this fact that  

1/(1−t)=

∑

∞

0

t

n

  (∗)

1/(1−t)=∑0∞tn   (∗)

where  

|t|<1

|t|<1

. I mean take  

t=−x/3

t=−x/3

and...

Note that  

|−t|=|t|<1

|−t|=|t|<1

is the radius of convergence

Step-by-step explanation:

idk

step-by-step explanation:

i don't know

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )