The value of _ x a^ - a^ 2 -x^ 2 ( 2 a-x a+x ) is
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
The value of \(\lim _{x \rightarrow a^{-}} \sqrt{a^{2}-x^{2}} \cot \left(\frac{\pi}{2} \sqrt{\frac{a-x}{a+x}}\right)\) is
- \(\frac{2 \mathrm{a}}{\pi}\)
- \(-\frac{2 \mathrm{a}}{\pi}\)
- \(\frac{4 \mathrm{a}}{\pi}\)
- \(-\frac{4 \mathrm{a}}{\pi}\)
Answer
(C) 4 a
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