Suppose you have a number c and you want to find its reciprocal 1=c. Can you compute that number only by applying multiplication? In order to do this we define and seek a solution of (a)    Show that...

Suppose you have a number c and you want to find its reciprocal 1=c. Can you compute that number only by applying multiplication? In order to do this we define

and seek a solution of

(a)    Show that Newton’s method for (4.185) can be written in the form

(b)   Set c D 4, x0 D 0:2 and compute x1;:::;x4 by (4.186). Comment the accuracy of the scheme.