grandes-ecoles 2015 QI.A.1

grandes-ecoles · France · centrale-maths2__mp Sequences and Series Convergence/Divergence Determination of Numerical Series
Justify that the series with general term $a _ { n } = \frac { 1 } { n } - \int _ { n - 1 } ^ { n } \frac { \mathrm {~d} t } { t }$ converges. 
Justify that the series with general term $a _ { n } = \frac { 1 } { n } - \int _ { n - 1 } ^ { n } \frac { \mathrm {~d} t } { t }$ converges.
Paper Questions
QI.A.1 QI.A.2 QI.B QI.C.1 QI.C.2 QI.D.1 QI.D.2 QI.D.3 QI.D.4 QI.E QI.F.1 QI.F.2 QI.F.3 QII.A.1 QII.A.2 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QII.C.1 QII.C.2 QII.C.3 QII.C.4 QII.C.5 QII.C.6 QII.C.7 QII.C.8 QIII.A QIII.B.1 QIII.B.2 QIII.B.3 QIII.C.1 QIII.C.2 QIII.C.3 QIII.D.1 QIII.D.2 QIII.D.3 QIV.A QIV.B.1 QIV.B.2 QIV.B.3 QIV.B.4 QIV.C.1 QIV.C.2