May be this way is good:
x(0)=1
I'm pretty stuck on this one. I believe the limit is , but I cannot prove it. The underlying sequence does not appear to be uniformly convergent, which is the only way I'd be able to show the result.Consider the scalar initial value problem
, ,
where is a parameter. Clearly, for each , the solution of the initial-value problem exists on and is unique. Find
(with justification).
Any help would be much appreciated!