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Limits and Derivatives

JEE Main 2025 (Online) 23rd January Evening ShiftMCQMedium📈 Topic in 13% papers+4−1
Ques. 1JEE Main 2025, 23 January (Evening Shift)

x (2x2-3x+5 )(3x-1) x2 (3x2+5x+4 ) (3x+2)x is equal to :

  1. 2e3
  2. 23 e
  3. 2e 3
  4. 2 3e

Answer

(2) 23 e

Solution

Algebraic part: 2x2-3x+53x2+5x+4 23.

Remaining part is 1 : ( 3x-13x+2 )x/2= (1- 33x+2 )x/2 e - 3x2(3x+2) e-1/2

L= 23 e

Answer: (2)

Keep practising — Limits and Derivatives

Ques. 2JEE Main 2025, 22 January (Evening Shift)

If x ( ( e1-e ) ( 1e- x1+x ) )x= , then the value of e 1+ e equals :

  1. e-2
  2. e2
  3. e
  4. e-1

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