There has been two misprints in Problem 3, parts (6), (7).
In part (6), the expression should be
(notice the correction in red!)
Also, in the Hebrew version, the denominator in the hint in part (7) should be 2^{-n} and not 2^n.
The English version of the exam has been corrected (here: https://yakovenko.files.wordpress.com/2014/02/analysis_exam_2014_ver21.pdf).
The corrections to the Hebrew version appears in RED here: (this file contains only the relevant page!)
Thank you very much to Menuha for pointing this out.