grandes-ecoles 2013 QII.C.4

grandes-ecoles · France · centrale-maths1__psi Sequences and Series Uniform or Pointwise Convergence of Function Series/Sequences
Show that $\varphi _ { n }$ is of class $\mathcal { C } ^ { \infty }$ on $\mathbb { R }$. 
Show that $\varphi _ { n }$ is of class $\mathcal { C } ^ { \infty }$ on $\mathbb { R }$.
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