If f x -left begin matrix x -1- - X lgeq 1-112 x - 2-2- - X 0 - x - 2-1- - x leq 0

Lim_x → 0^+ f(g(h(x))) = f(g(0^+)) = f(1^+) = 0 lim_x → 0^ f(g(h(x))) = f(g(0^+)) = f(1^+) = 0 Hence, nbsp;lim_x → 0 f(g(h(x))) = 0 ...

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If f x =left ...

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If $f (x) = {\begin{matrix} x - 1, x \geq 1, 2 x^{2} - 2, x < 1 \end{matrix} g (x) = {\begin{matrix} x + 1, x > 0 - x^{2} + 1, x \leq 0 \end{matrix} and h (x) = | x |, then lim x \to 0 f (g (h (x)))$ is

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