It would help pitch answers at the correct level ifOriginally Posted bymr_pj

you tell us what course/level you are studying.

Look at the definition of , it is the

difference of two positive functions of :

,

is zero when these two functions are

equal. Now is an increasing function and

is a decreasing function of .

So it they are equal at some point, this is the only point at

which they are ever equal. This is clear if you sketch the

two functions (see attachment).

Look at your notes to find what the Newton's Method

is. You will find it gives you a new estimate of the

root of a function in terms of the old estimate.

You start with a guess, get a new estimate and feed

that back, repeating the procedure until it has converged

sufficiently for your purposes.

In this case starting with a guess of 2 I get:

>itert(10,2)

>