. Suppose a state's income tax code states that tax liability is 12% on the first $20,000 of taxable eamings and 16% on the remainder. Find constants a and b for the tax function { if x < 20,000 b+0.16(x - 20,000) if x > 20,000 a +0.12x T(x)= such that lim T(x) = 0 and lim I+20,000 T(x) exists. Why is it %3D important for these limits to exist?

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