Hello everyone im new to this site so hope I am posting in the right place etc. Im struggling with the following question, I just really dont know how to get started, any help would be appreciated!
By considering appropriate series expansions, prove that:
ex * e(x^2)/2 * e(x^3)/3 * .... = 1 + x + x2 + .... when |x| < 1.
By expanding each individual exponential term on the left-hand side and multiplying out, show that the coeﬃcient of x19 has the form:
1/19! + 1/19 + r/s, where 19 does not divide s.