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Terminating Both Algorithms

Algebra Level 3

\[ \dfrac{1+x+x^2+x^3+\cdots}{1+2x+3x^2+4x^3+\cdots } \]

For \(|x| < 1\), find the closed form of the expression above.

\[0\] \[1\] \[1+x\] None of these choices \[1-x\] \[\frac1x\]

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by Stuti Malik

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