# Let's derivate 3

Calculus Level 3

True or false:

Let$$f(x): (0, \infty) \longrightarrow \mathbb{R}$$ such that $$f(x) = \ln (1 + x) \quad \forall x \in (0, \infty)$$, then there exists $$x \in (0,\infty)$$ such that $$f(x) \ge x$$.

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