grandes-ecoles 2011 QI.A.2

grandes-ecoles · France · centrale-maths1__mp Sequences and Series Convergence/Divergence Determination of Numerical Series
Deduce the nature of the Riemann series $\sum _ { n \geqslant 1 } \frac { 1 } { n ^ { \alpha } }$ according to the value of $\alpha \in \mathbb { R }$. 
Deduce the nature of the Riemann series $\sum _ { n \geqslant 1 } \frac { 1 } { n ^ { \alpha } }$ according to the value of $\alpha \in \mathbb { R }$.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.B.1 QI.B.2 QI.B.3 QII.A.1 QII.A.2 QII.A.3 QII.B.1 QII.B.2 QII.B.3 QIII.A.1 QIII.A.2 QIII.A.3 QIII.B.1 QIII.B.2 QIII.B.3 QIV.A.1 QIV.A.2 QIV.A.3 QIV.B.1 QIV.B.2 QIV.B.3 QIV.B.4 QIV.C.1 QIV.C.2