Hallo,

Someone already helped me to show that the following convergence is uniformly for all :

whereas

is the remainder term of a taylor expansion where all terms with factor and higher exponents are collected. This term can be bounded by a constant that can be chosen independent of

is a constants

are constants

is a constant

does the maximum point of the sequence of functions (I call it ) with converge to the maximum point of for (I call it ) ?

Does anyone know if the following holds:

?

I only know a theorem which says that this is true for a sequence of concave functions. But my functions are neither concave nor convex for all .

Can anybody help me?

Thanks!