JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow 0}} \frac{\left(1+a^3\right)+8 e^{1 / x}}{1+\left(1-b^3\right) e^{1 / x}}=2

, then

View answer and explanation

Correct option: A

a=1, b=(-3)^{1 / 3}

Option A (

a=1, b=(-3)^{1 / 3}

) is correct because by comparing coefficients after taking the limit as x approaches 0, we find that

a=1

and

b=(-3)^{1/3}

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