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A asked in Ciencias y matemáticasMatemáticas · 4 years ago

¿Algun matematico?

Sea a > 0 un número real que verfica

a

x/a ≥ x, ∀x > 0.

Pruébese que a = e.

1 Answer

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  • Jesús
    4 years ago
    Favorite Answer

    Supongo que por 'e' te refieres a epsilon. Bueno, al referirte a epsilon te refieres a un número muy pequeño, tan pequeño como tu quieras.

    Normalmente se refiere a un epsilon con las sig, caracteristicas: 0 ≤ e ≤ 1

    DEM:

    x/a ≥ x ∀x > 0

    1/a ≥ 1

    1 ≥ a

    Se cumple si proponemos un e=a

    Q.E.D

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