- #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 δ1 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?