Let II and be the distinct roots of a ^ 2 + b + c = 0 , then _ x 1- [a x^ 2 +b x+c ]…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let \(\text { II }\) and \(\beta\) be the distinct roots of \({\bf a}\times^{2}\,+\,{\bf b}\times{\bf\Phi}+{\bf c}\,=\,0\), then \(\lim _{x \rightarrow \infty} \frac{1-\cos \left[a x^{2}+b x+c\right]}{(x-a)^{2}}\) is equal to :
- 0
- \(\frac{a^{2}}{2}(\pi-\beta)^{2}\)
- \(\frac{1}{2}(\pi-\beta)^{2}\)
- \(-\frac{a^{2}}{2}(a-\beta)^{2}\)
Answer
(B) a^ 2 2 ( - )^ 2
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