- #1

Karol

- 1,380

- 22

## Homework Statement

## Homework Equations

Continuity:

$$\vert x-c \vert < \delta~\Rightarrow~\vert f(x)-f(c) \vert < \epsilon$$

$$\delta=\delta(c,\epsilon)$$

## The Attempt at a Solution

$$\vert f(x)-f(c) \vert <\frac{1}{2}f(c)~\Rightarrow~\vert x-c \vert < \delta_1$$

So i have this δ

_{1}but what do i do with it?

And ε=½f(c) is big, maybe it will be in the negative zone.

Maybe i have to find a δ such that ##~\vert f(x)-f(c) \vert =0~##?

There is such a δ, so why was advised to take such a large ε?