Hey MagisterMan.
The only advice I can give you besides any limit theorems/definitions is to transform this into a norm problem by relating the norm of |a*b| and |a+b| in terms of |a|*|b| and |a| + |b| respectively.
Hey, I've come across the following limit when trying to solve a problem in probability:
Would appreciate any help!
(I believe it should approach the characteristic function for a normal distribution: )