- #1

Bolz

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## Homework Statement

If f(x) = 3x+1 en assume δ > 0. Assume ε>0.

Give a δ > 0 with the following property :

|x-1|< δ => |f(x) - f(1)| < ε

## Homework Equations

## The Attempt at a Solution

|f(x) - f(1)| < ε

<=> |3x+1-(3*1+1)| < ε

<=> |3x-3| < ε

<=> |x-1| < ε/3

|x-1| < δ

|x-1| < ε/3

=> δ=ε/3>0

What am I doing wrong?

Thanks in advance!