grandes-ecoles 2013 QII.A

grandes-ecoles · France · centrale-maths1__psi Sequences and Series Proof of Inequalities Involving Series or Sequence Terms
Justify that for real $x$, $\left| \varphi _ { n } ( x ) \right| \leqslant 1$. 
Justify that for real $x$, $\left| \varphi _ { n } ( x ) \right| \leqslant 1$.
Paper Questions
QI.A.1 QI.A.2 QI.B QI.C QI.D QII.A QII.B QII.C.1 QII.C.2 QII.C.3 QII.C.4 QII.D QII.E.1 QII.E.2 QII.E.3 QIII.A.1 QIII.A.2 QIII.A.3 QIII.A.4 QIII.B.1 QIII.B.2 QIII.B.3 QIII.B.4 QIV.A QIV.B QIV.C.1 QIV.C.2 QIV.C.3 QIV.D.1 QIV.D.2