Question 1018776
let u = ((-3x+5)/2), then we have
u + u^2 + u^3 + ... = (1 / (1 - u)) iff |u| < 1
:
| (-3x+5)/2) | < 1
:
: using the pattern for <, we clear the absolute value
:
1) -1 < (-3x+5)/2) < 1
-2 < -3x+5 < 2
-7 < -3x < -3
7/3 > x > 1
:
the interval is 1 < x < 7/3 on which ((-3x+5)/2) converges