AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow 0} \frac{(\operatorname{cosec} x-\cot x)\left(e^x-e^{-x}\right)}{\sqrt{3}-\sqrt{2+\cos x}}=\)
- A \(3 \sqrt{2}\)
- B \(2 \sqrt{3}\)
- C \(3 \sqrt{3}\)
- D \(4 \sqrt{3}\)
Answer & Solution
Correct Answer
(D) \(4 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
\\(\\lim _{x \\rightarrow 0} \\frac{(\\operatorname{cosec} x-\\cot x)(e^x-e^{-x})}{\\sqrt{3}-\\sqrt{2+\\cos x}} = \\lim _{x \\rightarrow 0} \\frac{\\frac{1-\\cos x}{\\sin x}(e^x-e^{-x})}{\\frac{1-\\cos x}{\\sqrt{3}+\\sqrt{2+\\cos x}}}\\) \…
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