(10 points) Let D(0, 1) = {z : (z|

(10 points) Let D(O,I) {z : zl < 1}. Suppose there is a function f : D(O,I) + C such that f(1/n2) i/n4 for all n G N and f (1/2) = i/ 16. Prove that f cannot be analytic on the disk (Hint: if f were analytic, what would it have to be?)