EDB — 1BX

Exercises

1. [1BX] Let’s go back to the exercise [0FP]↺↻: computing the Cauchy product of the series ${\sum }_{n=1}^{\infty }\frac{(-1{)}^{n-1}}{\sqrt{n}}$ with itself, produces the series ${\sum }_n(-1{)}^n{c}_n$ with $c_n={\sum }_{k=1}^{n-1}\frac{1}{\sqrt{k(n-k)}}$; show that $c_n\to 𝜋$.

   Solution 1

   [1BY]↺↻