If x(r) " is given by , " x(r+1) = sqrt...

If `x_(r) " is given by , " x_(r+1) = sqrt(1/2 ( 1 + x_(r)))" . Then, show: " cos^(-1) x_(0) = sqrt(1-x_(0)^(2))/(x_(1)x_(2)x_(3))` ......up to infinity .

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The correct Answer is:

`= cos^(-1) x_(0)`

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