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Let the sum 1−x+x2−x3+⋯1 - x + x^2 - x^3 + \cdots 1−x+x2−x3+⋯ be the answer to this question. Find the value of the sum 1+x+x2+x3+⋯1 + x + x^2 + x^3 + \cdots 1+x+x2+x3+⋯.
Inspiration.
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