题如下,
Let g(k )=1+1/(2^(2))+1/(3^(2))+1/(4^(2))+...+1/(k^(2)) for any k ϵ N. It is known that g( k) is increasing and converges to (pi^2)/ 6 as k converges to infinity. The purpose of this problem is to investigate the convergence speed with SAS.
a.Find the smallest integer k, such that |g( k)-(pi^2)/6|<10^(-2).
b.find the smallest integer k such that |g(k )-(pi^2)/6|<10^(-3).



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