Question

ma ajuta si pe mine cineva,va rog??????​

Answer 1

Stim ca 1/y% = 1/y * 1/100.

$\frac{1}{2} \cdot \frac{1}{100} \cdot ( \frac{2}{3} \cdot \frac{1}{100} \cdot ... \cdot ( \frac{n}{n+1} \cdot \frac{1}{100} \cdot x ) \cdot ... ))) = \frac{1}{100^n(n+1)} \Leftrightarrow \\\frac{1}{100^n} \cdot \frac{1}{2} \cdot \frac{2}{3} \cdot ... \cdot \frac{n}{n+1}\cdot x = \frac{1}{100^n(n+1)} \Leftrightarrow\\simplificam,\\\frac{1}{100^n}\cdot \frac{x}{n+1} = \frac{1}{100^n(n+1)} \implies\\\frac{x}{100^n(n+1)} = \frac{1}{100^n(n+1)}, acum~se~observa~clar~ca~x~este~1.$

x = 1.