Question

How do you find the first three iterates for the function `f(x)=x^2+2` given the initial value `x_0=-1`?

Answer 1

See explanation.

Explanation:

Is it the iteration

`x_n=x_(n-1)^2+2, n = 1, 2, 3, ..,` with x_0=-1?

Such iterations `might` lead to

limit `x_n` = a zero of f(x)=0, as `n to oo`.

Yet, in this case, there is no real solution at all..