本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
The function h is de i 0l6vabfk eo:t)xhdos511n- fined by /noiibb u( aypwi+g 6q.g 03,+mx3 gtp$h(x)=\cos (\pi \cos x),-\pi \leq x \leq \pi$ .
1. Determine whether h is even, odd or neither even nor odd.
2. Show that $h^{\prime \prime}(0)=0$ .
3. Jack states that, because $ h^{\prime \prime}(x)=0$ , the graph of h has an inflexion at the point $\mathrm{P}(0,-1)$ . Explain briefly whether Jack's statement is correct or not.
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