x = (x^2+ 1)^( 1/3)

Take the interval average 1.45 as the initial iteration value.

The first iteration: s = (1.452+1) (1/3) =1.4585.

Second iteration: s = (1.4585 2+1) (1/3) =1.4624.

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The eighth iteration: s = (1.4655 2+1) (1/3) =1.4655.

It can be seen that it has converged to 1.4655.

Therefore, it follows approximately 1.4655.