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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
If lim⁡x→0(ekx−1)sin⁡kxx2=4\lim\limits_{x \to 0} \frac{{\left( {{e^{kx}} - 1} \right)\sin kx}}{{{x^2}}} = 4, then kk is equal to
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Correct option: C
± 2\pm \,2
Option C (± 2\pm \,2) is correct because solving the limit equation yields two possible values for k, both positive and negative 2.

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