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.Quote:

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!