Question

check if you can please

Answer 1

I am writing a power series for 1/x

1/x = 1/(x-1+1) = 1/(1+x-1) = 1/(1-(-x+1))
\[\frac{1}{x}=\sum_{n=0}^{\infty}(1-x)^n\]

Answer 2

for
-1<1-x<1
-2<-x<2
2>x>-2

|x|<2

Answer 3

oh, I am incorrect for my last reply

Answer 4

-2<-x<0
2>x>0
(0,2)