grandes-ecoles 2022 Q10

grandes-ecoles · France · x-ens-maths-c__mp Sequences and Series Properties and Manipulation of Power Series or Formal Series
Let $f, g$ and $h$ be power series, with $g, h \in O_1$, show that $(f \circ g) \circ h = f \circ (g \circ h)$.
Let $f, g$ and $h$ be power series, with $g, h \in O_1$, show that $(f \circ g) \circ h = f \circ (g \circ h)$.