The function
.
Differentiate on each side with respect to
.


Newtons approximation method formula :
.
Find
.

Consider 


Find
.


Newton Formula : 



Perform newton approximation for
.
Newtons formula :
.


Perform newton approximation for
.
Newton formula :
.

.
Perform newton approximation for
.
Newton formula :
.


By using newtons method the section was alternatively repeated so the test is failed.
\The test is fails because of the newtons method is alternatively repeated.