Consider the equation
Define the sequence by
So that the sequence converges monotonically to the solution of the equation.
Proof so far.
I have and
So this sequence is monotonically increasing, but do I need to do induction to be more convincing?
I want to show that this sequence is bounded, so it does converge. Then suppose it converges to L. But I'm stuck here, guess I didn't start this right.
Any hints? Thanks.