I was refreshing myself on calculus earlier and came across this problem in a textbook. If we consider that x0 = 1 and x1* = √[1 * (1 + 1/n)] or equivalently √[(1 + 0/n)(1 + 1/n)], this may help you find that, in general, xi* = √[(1 + (i-1)/n)(1 + i/n)].
Expand it and simplify the result and...