grandes-ecoles 2011 QIII.B.3

grandes-ecoles · France · centrale-maths1__mp Sequences and Series Asymptotic Equivalents and Growth Estimates for Sequences/Series
Show that, in the expression of $R _ { n } ( \alpha )$ from II.B.2, the term $O \left( \frac { 1 } { n ^ { 2 p + \alpha - 1 } } \right)$ can be written in the form of an integral. 
Show that, in the expression of $R _ { n } ( \alpha )$ from II.B.2, the term $O \left( \frac { 1 } { n ^ { 2 p + \alpha - 1 } } \right)$ can be written in the form of an integral.
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