Limits and Derivatives · Question 16

JEE Main 2025 (Online) 2nd April Morning ShiftMCQMedium📈 Topic in 32% papers+4−1

For , , R, if x 0 x2 x + ( - 1)ex2 2x - x = 3, then + - is equal to :

-1
4
6
7

Answer

(4) 7

Solution

As x 0 the denominator 0, so the numerator must also 0:

- 1 = 0 = 1

Limit becomes x 0 x2 x 2x - x; numerator x3.

2x - x = (2 - )x - (2x)36 +

If 2 the limit is 0, so = 2 and denominator - 43x3.

- 43 = 3 = -4

+ - = 2 + 1 + 4 = 7

Answer: (4)

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Keep practising — Limits and Derivatives

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