In programing language C, how to create a code using viete's formula to approximate pi

4.6 Vite's Formula Named after Franois Vite, Vite's formula is a infinite product of nested radicals that can be used for calculations of , though it should be noted that methods found before this specific formula are known to produce greater accuracy. Vite's formula can be written as follows: 2=2222+222+2+2 Or more simply, 2=k=12ai where a1=2 and ak=2+ak1 for all k>1