first find the value of current through at t=0- which wiil be .75A.
THEN after closing switch apply formula
i(t)=l(infinite) +(i(0+) - i(infinite)) exp(-t/T)
T=L/R= 1 milli SEC.
i(0+)=.75/2 =.375A
I(infinite)=1.5/3=.5A
all value put in formula you will get correct ans.