grandes-ecoles 2022 Q17

grandes-ecoles · France · centrale-maths2__mp Sequences and Series Proof of Inequalities Involving Series or Sequence Terms

Show that $|F(x)| \leqslant \frac{1}{3}$ for all $x \in [1,2]$, where $F(x) = \sum_{n=1}^{+\infty} f_n(x)$.

Show that $|F(x)| \leqslant \frac{1}{3}$ for all $x \in [1,2]$, where $F(x) = \sum_{n=1}^{+\infty} f_n(x)$.