It isn't a homework problem but I think I better post it here instead of Mathematics forum, since it belongs to "exam help".(adsbygoogle = window.adsbygoogle || []).push({});

Prove that for any positive real numbers a and b,

lim [(an+b)^{1/n}-1] = 0

n->inf

I don't need to use things like |a-b|<epsilon. A simple way will do. I know it's an easy question but I don't know where to start. Could someone please help.

**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!

# Limit of a sequence

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