# Thread: Solving for a Variable in a Series

1. ## Solving for a Variable in a Series

Solve exactly for the variable.

2. Originally Posted by ZosoPage
Solve exactly for the variable.

3. Sorry. Here is the problem again.

Solve exactly for the variable, x.

$x-(1/2)x^2+(1/3)x^3+...=0.2$

4. Originally Posted by ZosoPage
Sorry. Here is the problem again.

Solve exactly for the variable, x.

$x-(1/2)x^2+(1/3)x^3+...=0.2$
note that ...

$\ln(1+x) = x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4} + ...$
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