Say f(x) is some piece wise function, and on some interval it is a quadratic equation. How do we determine $$\lim_{x \to -2} f(f(x))$$ Would it just be first we sub the quadratic inside the quadratic and then determine the solution? Or is there something more? Thanks!
2026-03-26 13:02:46.1774530166
How to calculate the limit of f(f(x)) if f(x) is a piecewise function?
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It is $f(f(-2))$ unless $f$ has discontinuity around $x=-2$ or around $x=f(-2)$, in which case it is undefined.