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Omni-MATH / Find all values of x that satisfy x=1−x+x²−x³+x⁴−x⁵+⋯ (be careful; this is tricky).

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Find all values of xx that satisfy x=1−x+x2−x3+x4−x5+⋯x=1-x+x^{2}-x^{3}+x^{4}-x^{5}+\cdots (be careful; this is tricky).
Plain-text mathematical notation (without MathML)
Find all values of x that satisfy x=1−x+x²−x³+x⁴−x⁵+⋯ (be careful; this is tricky).
Original LaTeX notation
Find all values of $x$ that satisfy $x=1-x+x^{2}-x^{3}+x^{4}-x^{5}+\cdots$ (be careful; this is tricky).

Discussion

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Source and history

task_id
ab7130b2-78a0-5f32-8719-014d8878d5a6
task_key
test--ab7130b2-78a0-5f32-8719-014d8878d5a6
task_revision_id
1
config / split
/ test

Official source

initial import