Recent content by janewaybos

  1. J

    Iteration, linear function. convergence and divergence

    Yes.
  2. J

    Iteration, linear function. convergence and divergence

    Homework Statement I need to understand and prove the following: That if a>1 the function diverges, except for a special case x_0= b/(1-a). Then if a=-1 diverges for some cases and converges if x_0 is b/2. Again, not to clear on this. Homework Equations lim n →∞...
  3. J

    Use the definition of convergence to prove that the lim (1/2)^n=0

    Homework Statement Use the definition of convergence to prove that lim n→∞ (1/2)^n=0 The definition of convergence says |a_n-L|<ε Homework Equations The Attempt at a Solution As I understand it: |(1/2)^n-0|<ε |(1/2)|^n<ε then I need to solve for n...