Răspuns
5050
Explicație pas cu pas:
[tex]E(-2)\cdot E(-3)\cdot E(-4)\cdot\ldots\cdot E(-100)=\\\\=\dfrac{-2-1}{-2+1}\cdot\dfrac{-3-1}{-3+1}\cdot\dfrac{-4-1}{-4+1}\cdot\ldots\cdot\dfrac{-99-1}{-99+1}\cdot\dfrac{-100-1}{-100+1}=\\\\\\=\dfrac{-3}{-1}\cdot\dfrac{-4}{-2}\cdot\dfrac{-5}{-3}\cdot\dfrac{-6}{-4}\cdot\ldots\cdot\dfrac{-98}{-96}\cdot\dfrac{-99}{-97}\cdot\dfrac{-100}{-98}\cdot\dfrac{-101}{-99}=\\\\\\=\dfrac{1}{-1}\cdot\dfrac{1}{-2}\cdot(-100)\cdot(-101)=\dfrac{100\cdot 101}2=50\cdot 101=5050. [/tex]
Green eyes.
