From ‘s definition:
To obtain other values of , we may simply solve
For example (see Fig. 1), solving for gives It is in agreement with the fact that
In Fig. 2, we compute from repeatedly solving for where
Since is a periodic function, has infinitely many solutions. It is possible that the solution obtained by Newton’s method lies outside of , the range of by its definition. Such solution cannot be considered the value of
Exercise-1 Compute by solving for
Exercise-2 Explain Fig. 3.