Unlike the harmonic numbers, the sum 1/12 + 1/22 + ... + 1/n2 does converge to a constant as n grows to infinity. (Indeed, the constant is π2/6, so this formula can be used to estimate the value of π.) Which of the following for loops computes this sum? Assume that n is an int variable initialized to 1000000 and sum is a double variable initialized to 0.0.
a. for (int i = 1; i <= n; i++) sum += 1 / (i*i);
b. for (int i = 1; i <= n; i++) sum += 1.0 / i*i;
c. for (int i = 1; i <= n; i++) sum += 1.0 / (i*i);
d. for (int i = 1; i <= n; i++) sum += 1 / (1.0*i*i);
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