Limit _ y 0 ( Limit _ x (x (1+ a y x ) )- (x (1+ by x ) ) y )=
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
\[\operatorname{Limit}_{y \rightarrow 0}\left(\operatorname{Limit}_{x \rightarrow \infty} \frac{\exp \left(x \ln \left(1+\frac{a y}{x}\right)\right)-\exp \left(x \ln \left(1+\frac{\text { by }}{x}\right)\right)}{y}\right)=\]
- a + b
- a – b
- b – a
- – (a + b)
Answer
(B) a – b
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