18/06/19 02:16:28.22 8eLVrD8z.net
>>192
(C_k - √2)/(C_k + √2) = a_k
とおくと、
a_1 = - (√2 -1)^2 = -0.171572875
a_n = r･a_{n-1} = … = r^(n-1)･a_1 = r^n,
ここに r = - (√2 -1)^2 = -0.171572875
C_n = (√2)(1+a_n)/(1-a_n) = (√2)(1+r^n)/(1-r^n),
C_n → √2 (n→∞),
18/06/19 02:16:28.22 8eLVrD8z.net
>>192
(C_k - √2)/(C_k + √2) = a_k
とおくと、
a_1 = - (√2 -1)^2 = -0.171572875
a_n = r･a_{n-1} = … = r^(n-1)･a_1 = r^n,
ここに r = - (√2 -1)^2 = -0.171572875
C_n = (√2)(1+a_n)/(1-a_n) = (√2)(1+r^n)/(1-r^n),
C_n → √2 (n→∞),