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## Homework Statement

I'm asked to find the maximum value of [itex]h[/itex] such that [itex]\mu = \lambda h\;\;(\lambda \in \mathbb{R})[/itex] satisfies: [tex]|1+\mu + \frac{1}{2} \mu ^2 + \frac{1}{6} \mu ^3| < 1[/tex]

## The Attempt at a Solution

My hurdle is solving [itex]1+\mu + \frac{1}{2} \mu ^2 + \frac{1}{6} \mu ^3=1[/itex] to find the interval [itex]\mu\in (?,?)[/itex] which satisfies [tex]|1+\mu + \frac{1}{2} \mu ^2 + \frac{1}{6} \mu ^3| < 1[/tex]