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    • https://espanol.libretexts.org/Matematicas/Calculo_diferencial_CLP-1_(Feldman_Rechnitzer_y_Yeager)/06%3A_Ap%C3%A9ndice/6.02%3A_B_-_Origen_de_las_F%C3%B3rmulas_Trig%2C_%C3%81rea_y_Volumen/6.2.05%3A_B.5_C%C3%ADrculos%2C_conos_y_esferas
      \ begin {alinear*}\ lim_ {n\ a\ infty}\ frac {\ pi r^2h} {n^3}\ frac {n (n+1) (2n+1)} {6} &=\ frac {\ pi r^2h} {6}\ lim_ {n\ a\ infty}\ frac {n (n+1) (2n+1)} {n^3}\\ &=\ frac {\ pi r^2h} {6}\ lim_ {n\...\ begin {alinear*}\ lim_ {n\ a\ infty}\ frac {\ pi r^2h} {n^3}\ frac {n (n+1) (2n+1)} {6} &=\ frac {\ pi r^2h} {6}\ lim_ {n\ a\ infty}\ frac {n (n+1) (2n+1)} {n^3}\\ &=\ frac {\ pi r^2h} {6}\ lim_ {n\ a\ infty}\ frac {(1+1/n) (2+1/n)} {1}\\ &=\ frac {\ pi r^2h} {6}\ times 2\\ &=\ frac {\ pi r^2h} {3}\ end {align*}

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