MCQMediumJEE Main 2025 · 24 January, Shift 1Limits

Mathematics Question from JEE Main 2025 · 24 January, Shift 1

Evaluate the limit: limx0cscx(2cos2x+3cosxcos2x+sinx+4)\lim_{x \to 0} \csc{x} \left( \sqrt{2 \cos^2{x} + 3 \cos{x}} - \sqrt{\cos^2{x} + \sin{x} + 4} \right) is equal to:

  • A

    00

  • B

    125\frac{1}{2\sqrt{5}}

  • C

    115\frac{1}{\sqrt{15}}

  • D

    125- \frac{1}{2\sqrt{5}}

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