We have numerically determined the behavior of the magnetic susceptibi
lity upon approach of the critical point in two-dimensional spin syste
ms with an interaction range that was varied over nearly 2 orders of m
agnitude. The full crossover from classical to Ising-like critical beh
avior, spanning several decades in the reduced temperature, could be o
bserved. Our results convincingly show that the effective susceptibili
ty exponent gamma(eff) changes nonmonotonically from its classical to
its Ising value when approaching the critical point in the ordered pha
se. In the disordered phase the behavior is monotonic. Furthermore, th
e hypothesis that the crossover function is universal is supported.