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

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

1 Answer
Feb 14, 2018

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.