Integral composition

Calculus Level 3

\[f(x) = \lim_{n \to \infty} \tan \left( \int \limits_0^{f(x)} \tan \left( \int \limits_1^{f(x)} \tan \left(\int \limits_2^{f(x)} \tan \left( \cdots \left( \int \limits_n^{f(x)} \tan(f(x)) dx \right) \cdots \right) dx \right) dx \right) dx \right) \]

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