Let f(x)=⎧⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎩x3−ax2+2x2−3x+2,0< – InterviewSolution

1.	Let f(x)=⎧⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎩x3−ax2+2x2−3x+2,0<x<1b2x2+bx+1,x=1(1+(lnc)⋅tan2(x−1))1/(lnx)2,1<x<2be continuous at x=1. Then which of the following relations can hold good?
Answer» Let $f (x) = ⎧ ⎪⎪⎪⎪⎪ ⎨ ⎪⎪⎪⎪⎪ ⎩ \begin{matrix} \frac{x^{3} - a x^{2} + 2}{x^{2} - 3 x + 2}, & 0 < x < 1 b^{2} x^{2} + b x + 1, & x = 1 {(1 + (ln c) \cdot {tan}^{2} (x - 1))}^{1 / (ln x)^{2}}, & 1 < x < 2 \end{matrix}$ be continuous at $x = 1.$ Then which of the following relations can hold good?

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