grandes-ecoles 2013 QI.D

grandes-ecoles · France · centrale-maths1__psi Sequences and Series Evaluation of a Finite or Infinite Sum
Calculate $\sum _ { n = - \infty } ^ { + \infty } \left| \varphi _ { n } ( x ) \right| ^ { 2 }$. 
Calculate $\sum _ { n = - \infty } ^ { + \infty } \left| \varphi _ { n } ( x ) \right| ^ { 2 }$.
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