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    $\begingroup$ Additionally, as a guarantee that the iteration never veers off the brackets you have set up, use Brent's method (i.e. append the option setting Method -> "Brent" to FindRoot[]). $\endgroup$ Commented Sep 7, 2012 at 9:48
  • $\begingroup$ Thank you, it works. Only thing is, when desireable solutions x*(k) approach 0 as parameter k is changed towards one end of the parameter range, the solution becomes discontinuous ..although i know there does exist a finite, smooth x(k).. $\endgroup$ Commented Sep 14, 2012 at 9:18
  • $\begingroup$ @ridwandrusli we have no way of helping you more if you don't post your function (or better, your current code) $\endgroup$ Commented Sep 14, 2012 at 9:35