Daily Archives: December 3, 2013

Solution: 2013-21 Unique inverse

Let \( f(z) = z + e^{-z} \). Prove that, for any real number \( \lambda > 1 \), there exists a unique \( w \in H = \{ z \in \mathbb{C} : \text{Re } z > 0 \} \) such that \( f(w) = \lambda \).

The best solution was submitted by 박민재. Congratulations!

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