2. Assume the following fact: every positive rational number can be written as a finite sum of distinct numbers of the form 1 where n is natural (i.e. every positive rational number can be written as an Egyptian fraction). (a) Apply this fact to the numbers 2/7 and 19/15 (i.e. write them as Eqyptian fractions). (b) Use the fact to give a good proof of the divergence of the harmonic series. (c) Research the special series + + + . . . to find the name of the mathematician 2 3 5 (and the date) who proved a result concerning its convergence/ divergence (which one). What is an important (mathematical/ historical) conclusion as a result of this