JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\alpha

and

\beta

are the roots of the equation

a x^2+b x+c=0

, then

\lim \limits_{{x \rightarrow \alpha}}\left(1+a x^2+b x+c\right)^{1 / x-\alpha}

, is

View answer and explanation

Correct option: A

e^{a(\alpha-\beta)}

Option B (

e^{a(\beta-\alpha)}

) is correct because the limit can be evaluated by factoring the quadratic and using exponential limit properties.

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