buktikan menggunakan induksi matematika k/(k+1) sama dengan n/(n+1)

[tex]\forall k,n\in \mathbb{R}:\frac{k}{k+1}=\frac{n}{n+1}[/tex]
[tex]k=1[/tex]
[tex]\frac{1}{1+1}=\frac{n}{n+1}[/tex]
[tex]n+1 = 2n[/tex]
[tex]n=1[/tex]
[tex]\therefore n = k[/tex]

[tex]k=h[/tex]
[tex]\frac{h}{h+1}=\frac{n}{n+1}[/tex]
[tex]h(n+1) = n(h+1)[/tex]
[tex]hn+h = nh+n[/tex]
[tex]\therefore h = n[/tex]