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Omni-MATH / Let f(x)=x²+x⁴+x⁶+x⁸+⋯, for all real x such that the sum converges. For how many real numbers x does f(x)=x ?

Problem

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problem

Let f(x)=x2+x4+x6+x8+⋯f(x)=x^{2}+x^{4}+x^{6}+x^{8}+\cdots, for all real xx such that the sum converges. For how many real numbers xx does f(x)=xf(x)=x ?
Plain-text mathematical notation (without MathML)
Let f(x)=x²+x⁴+x⁶+x⁸+⋯, for all real x such that the sum converges. For how many real numbers x does f(x)=x ?
Original LaTeX notation
Let $f(x)=x^{2}+x^{4}+x^{6}+x^{8}+\cdots$, for all real $x$ such that the sum converges. For how many real numbers $x$ does $f(x)=x$ ?

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Source and history

task_id
31358bcd-5c77-5fca-b9cb-ed935b0efc3c
task_key
test--31358bcd-5c77-5fca-b9cb-ed935b0efc3c
task_revision_id
1
config / split
/ test

Official source

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