Basically I will have won if I can show that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]n+1 \geq \left( 1+ \frac{1}{n} \right)^n[/tex]

can I? Not that I haven't tried...

This is also equivalent to showing that

[tex]n^n \geq (n+1)^{n-1}[/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Another proof by induction

**Physics Forums | Science Articles, Homework Help, Discussion**