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Find the interval of convergence of:

$$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ ( x-1 ) }^{ 2n+1 } }{ ( 2n+1 ) ! } } $$

A

{$1$}

B

$ [0, 2]$

C

$ (0, 2]$

D

$(-\infty,\infty)$

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