Limits, Continuity & Differentiability Question - None

Question

Let α(a) and β(a) be the roots of the equation ( 3√1 + a−1)x2+(√1 + a−1)x+( 6√1 + a−1) = 0. Find lima→0+ α(a) and lima→0+ β(a).

Accepted Answer

1: Equation becomes (a/3)x2 + (a/2)x + (a/6) = 0 =\Rightarrow 2x2 + 3x + 1 = 0.

2: Roots are -1/2 and -1. Option (B).

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