If α, β are the roots of the quadratic equation ax 2 + bx + c = 0 then, Limit _ x 1- (a…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If α, β are the roots of the quadratic equation
ax2 + bx + c = 0 then,
\[\operatorname{Limit}_{x \rightarrow \alpha} \frac{1-\cos \left(a x^{2}+b x+c\right)}{(x-\alpha)^{2}}=\]
ax2 + bx + c = 0 then,
\[\operatorname{Limit}_{x \rightarrow \alpha} \frac{1-\cos \left(a x^{2}+b x+c\right)}{(x-\alpha)^{2}}=\]
- 0
- \(\frac{1}{2}(\alpha-\beta)^{2}\)
- \(\frac{a^{2}}{2}(\alpha-\beta)^{2}\)
- \(-\frac{a^{2}}{2}(\alpha-\beta)^{2}\)
Answer
(C) a^ 2 2 ( - )^ 2
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