_ x b x-a - b-a x^ 2 -b^ 2

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

\(\lim _{x \rightarrow b} \frac{\sqrt{x-a}-\sqrt{b-a}}{x^{2}-b^{2}}\)
  1. \(\frac{1}{4 b \sqrt{a-b}}\)
  2. \(\frac{1}{4 b \sqrt{b-a}}\)
  3. \(\frac{1}{4 a \sqrt{a-b}}\)
  4. \(\frac{1}{b \sqrt{b-a}}\)

Answer

(B) 1 4 b b-a

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