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11-116.

Multiple Choice: The interval of convergence for the series $\displaystyle\sum _ { n = 1 } ^ { \infty } \frac { ( x - 1 ) ^ { n } } { n ! }$ is:

$(-∞, ∞)$

$(−1, 1)$

$[−1, 1]$

$(−1, 1]$

$[−1, 1)$

Hint:

$= 0$
What does this tell you about the interval of convergence?

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