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# Does the Sum of the Polynomials Converge?

APCALC-EK35UZ

Find all values of $x$ for which:

$$\sum _{ n=0 }^{ \infty }{ { \left( \cfrac { x-1 }{ 5 } \right) }^{ n } }$$

...converges.

A

$x = 1$ only

B

$x < 6$

C

$[-4, 6]$

D

$(-4, 6)$