grandes-ecoles 2025 Q4

grandes-ecoles · France · mines-ponts-maths2__pc Sequences and Series Evaluation of a Finite or Infinite Sum

Show that, for all $q \geq 2$, $$S _ { 1 , q } = ( - 1 ) ^ { q } \left( \phi _ { 1,1 } ( q - 2 ) - \ln 2 \right)$$

Show that, for all $q \geq 2$,
$$S _ { 1 , q } = ( - 1 ) ^ { q } \left( \phi _ { 1,1 } ( q - 2 ) - \ln 2 \right)$$