To determine which compound in the 3d series does not show a +3 oxidation state, let's analyze the oxidation states of each element mentioned in the options: V (Vanadium), Cr (Chromium), Mn (Manganese), and Cu (Copper).
Given the analysis above, Copper (Cu) is the element in the 3d series which does not show a +3 oxidation state. Copper prefers +1 and +2 oxidation states because of its electronic configuration (3d104s1). It does not easily lose three electrons to achieve a +3 oxidation state due to the stable filled 3d10 configuration.
Therefore, the correct answer is: Cu.