# Math Help - [SOLVED] Real Analysis

1. ## [SOLVED] Real Analysis

need help!!
prove that Lim n→ ∞ 1 / √(n+1) = 0? and please remember that this is not calculus but real An.

thanks

2. Originally Posted by gtapia
need help!!
prove that Lim n→ ∞ 1 / √(n+1) = 0? and please remember that this is not calculus but real An.

thanks
you need to show that $\left| \frac 1{\sqrt{n + 1}} - 0 \right|< \epsilon$ for $\epsilon > 0$ and $n$ "suitably" large

what does n have to be larger than for $\frac 1{\sqrt{n + 1}}$ to be less than $\epsilon$?

of course you would phrase all this to conform to the sequence definition of the limit given in your text...