Finding the value of x for which the power series

Finding the value of x for which the power series converges.

For what values of Z does the power series

1 - 3x + (5x²/2!) - (7x³/3!) + (9x⁴/4!) - (11x⁵/5!) + ...

Converge? If it converges on an interval of values of x, you do not need to determine whether or not it converges at the endpoints of that interval.

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