In programming language C ONLY, write a code calculating using Euler's Method to the Basel problem

4.4 Euler's Solution The Basel problem is a problem in mathematical analysis with relevance to number theory, first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734. The Basel problem asks for the precise summation of the reciprocals of the squares of the natural numbers, i.e. the sum of the infinite series k=1k21=121+221+321+=H(2). which again involves harmonic numbers. Euler's solution showed that the solution is 2/6, but his method gave us this series: p(n)=6k=1nk21 which also requires us to calculate the square root, of this case an unknown (until we calculate it) number