Let S be the set of all ( , ) R R such that _ x (x^2)( _e x)^ ( 1 x^2 ) x^ ( _e(1 + x))^ = 0. Then which of the following is (are) correct?

JEE Advanced 2024 Mathematics question

Let be the set of all such that

= 0.

Then which of the following is (are) correct?

Answer: (B),(C)

As , and , while is bounded but keeps oscillating between and . So the expression behaves like . It tends to 0 iff

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Question ID VK-034219