If f(x) = ⎧⎪⎨⎪⎩mx2+n,x<0nx+m,0≤x≤1nx3+m,x>1 for what int – InterviewSolution

1.	If f(x) = ⎧⎪⎨⎪⎩mx2+n,x<0nx+m,0≤x≤1nx3+m,x>1 for what intergers m and n does both limx→0 f(x) and limx→1 f(x) exist?
Answer» If f(x) = $⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} m x^{2} + n, & x < 0 n x + m, & 0 \leq x \leq 1 n x^{3} + m, & x > 1 \end{matrix}$ for what intergers m and n does both $lim x \to 0$ f(x) and $lim x \to 1$ f(x) exist?

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