We consider a market that consists of a dividend-paying stock and a risk-free asset. Let u=1+t and d=1t. Show that the limiting distribution of ST as t0 under Q is lognormal, i.e., lnSTN(lnS0+(rq2/2)T,2T), and then find a closed-form pricing formula C(K,T;) for the European call with payoff max(STK,0) in the limiting case. All the questions below assume the limiting case t0