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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.

1+x

1

1-x

\frac1x

0

None of these choices

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by Stuti Malik

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