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## Homework Statement

The following sequence comes from the recursion formula for Newton's Method.

x

_{0}= 1 , x

_{n+1}=x

_{n}-(tanx

_{n}-1)/sec

^{2}x

_{n}

Show if the sequence converges or diverge.

## Homework Equations

## The Attempt at a Solution

I don't really know where to start on this problem, I have tried to use some trig identities to no avail, but I don't know what else to do. Any help is appreciated, thanks!

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