JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

\Delta(x)=\left|\begin{array}{cc}e^x & \sin x \\ \cos x & \ln \left(1+x^2\right)\end{array}\right|

, then the value of

\lim _{x \rightarrow 0} \frac{\Delta(x)}{x}

View answer and explanation

Correct option: C

-1

Option C (-1) is correct because by applying L'Hôpital's rule or using standard limits, the limit evaluates to -1.

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