Question: 1.7. Construct a ch.f. that vanishes in [-b, -a] and [a, b], where 0 < a < b, but nowhere else. [HINT: Let 1m be

1.7. Construct a ch.f. that vanishes in [-b, -a] and [a, b], where 0 < a <

b, but nowhere else. [HINT: Let 1m be the ch.f. in Exercise 6 and consider L Pml m, where Pm :::: 0, L Pm = 1, m m and the Pm's are strategically chosen.]

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