Initialisation : true.
Then suppose that .
What ends the proof by induction.
Now, try to show by induction that .
Then it is clear that increases and so converge.
The question goes...
Let the sequences and be defined by ,
and .Prove by induction that and . What is ? Prove that exists.
Can I have quite a detailed explanation please? I was never any good at proof by induction & I'm not too good at pure maths in general. Plus my lecturer's not been available for meetings lately