Question

Use the given graph of f to find a number delta...?

I'm not really sure what to do here. I think the first step is to set the equation equal to each other?

Answer 1

That's the easy one!

Explanation:

Seriously, you'll like this.
The red horizontal segments are distance 0.2 away from 1. These are `y = 1 - epsilon` and `y = 1 + epsilon`.
The corresponding red vertical segments are at
`x = 1 - 0.3` and `x = 1 + 0.1`.
Choose `delta = 0.1` -- the smaller distance from the limit point. Then whenever
`0 < | x - 1 | < delta`, `f(x)` will be between the red horizontal lines.
In other words, `f(x) - 1 | < epsilon`.