- #1

Hodgey8806

- 145

- 3

## Homework Statement

For any b in ℝ, prove lim(b/n)=0

## Homework Equations

I'm going to use the limit of a sequence involving any ε>0 for this.

## The Attempt at a Solution

Let b be in ℝ

Let ε>0, the 1/ε>0

Let K be in N s.t. K>1/ε

If n≥K, n≥1/ε

This implies |b/n - 0| = |b|*|1/n - 0| = |b|*|1/n| < |b|*ε. Since ε>0 is arbitray, we can conclude the lim(b/n) = 0 for any b in ℝ.