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Limits and Derivatives

JEE Main 2025 (Online) 24th January Morning ShiftMCQMedium📈 Topic in 13% papers+4−1
Ques. 1JEE Main 2025, 24 January (Morning Shift)

x 0 cosecx ( 2 2x+3 x- 2x+ x+4 ) is

  1. 1 15
  2. 12 5
  3. 0
  4. - 12 5

Answer

(4) - 12 5

Solution

Both roots 5 and cosecx : rationalise.

L= x 0 ( x-1)( x+4)- x x ( 2 2x+3 x+ 2x+ x+4 )

x-1 x=- x2 0

L= 0-1 5+ 5=- 12 5

Answer: (4)

Keep practising — Limits and Derivatives

Ques. 2JEE 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
Ques. 3JEE 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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