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Question: Answered & Verified by Expert
If $\alpha, \beta$ are the roots of the equation $a x^2+b x+c=0$, then $\lim _{x \rightarrow \alpha} \frac{1-\cos \left(a x^2+b x+c\right)}{(x-\alpha)^2}=$
MathematicsLimitsAP EAMCETAP EAMCET 2017 (25 Apr Shift 1)
Options:
  • A $a^2(\alpha-\beta)^2$
  • B $4 a^2(\alpha-\beta)^2$
  • C $\frac{a^2}{2}(\alpha-\beta)^2$
  • D $2 a^2(\alpha-\beta)^2$
Solution:
2589 Upvotes Verified Answer
The correct answer is: $\frac{a^2}{2}(\alpha-\beta)^2$
No solution. Refer to answer key.

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