JEE Mains · Maths · STD 11 - 12. limits
If \(\alpha, \beta\) are the distinct roots of \(x^{2}+b x+c=0\) then \(\lim _{x \rightarrow \beta} \frac{e^{2\left(x^{2}+b x+c\right)}-1-2\left(x^{2}+b x+c\right)}{(x-\beta)^{2}}\) is equal to:
- A \(b^{2}+4 c\)
- B \(2\left(b^{2}+4 c\right)\)
- C \(2\left(b^{2}-4 c\right)\)
- D \(b^{2}-4 c\)
Answer & Solution
Correct Answer
(C) \(2\left(b^{2}-4 c\right)\)
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow \beta} \frac{e^{2\left(x^{2}+b x+c\right)}-1-2\left(x^{2}+b x+c\right)}{(x-\beta)^{2}}\)…
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