Chapter 11, Problem 108RE

To determine

To explain:

The function does not contain a limit value:

Answer to Problem 108RE

  $f\text{'}\left(z\right)$ Gives the slope of tangent line at the point $\left(z,f\text{'}\left(z\right)\right)$ is true

Explanation of Solution

There are three conditions of the function $f\left(x\right)$ as $x\to c$ doesn’t exist if the following conditions are true.

1. If the function decreases or increases without bound as $x$ approaches $c$
2. If the function oscillates between $2$ fixed values without as $x$ approaches $c$
3. If the function approaches the difference number from right side than it approaches from the left side.