JEE Mathematics Limits MCQs

Question:

• a) 0
• b) None of these
• c) –1
• d) 1

Answer: 0

Question:

• a) –2
• b) 0
• c) 1/2
• d) 1

Answer: –2

Question:

• a)

  a-1/3a²

• b) a – 1
• c) a
• d) 0

Answer: a-1/3a²

Question:

• a) Does not exist
• b) –1
• c) 1
• d) 0

Answer: Does not exist

Question:

• a) Does not exist
• b) = 0
• c) = 2
• d) = 1

Answer: Does not exist

Question:

• a) 1
• b) 1/2
• c) 2
• d) 0

Answer: 1

Question:

• a) 3/2
• b) 1/2
• c) 1
• d) 2

Answer: 3/2

Question:

• a) –1/3
• b) –1/2
• c) 1/2
• d) 1/3

Answer: –1/3

Question:

• a) 1/2
• b) 2/3
• c) 1/3
• d) 0

Answer: 1/2

Question:

• a) –1/2
• b) 0
• c) 1/2
• d) Does not exist

Answer: –1/2

Question:

• a) 0
• b) Does not exist
• c) 1
• d) None of these

Answer: 0

Question:

• a) = 3
• b) = 1
• c) = 2
• d) Does not exist

Answer: = 3

Question:

• a) Does not exist
• b) = –1
• c) = 1
• d) = 0

Answer: Does not exist

Question:

• a) 2/3
• b) 0
• c) 1/2
• d) 3/4

Answer: 2/3

Question:

• a) e^1/3
• b) e
• c) e³
• d) 1

Answer: e^1/3

Question:

• a) 1
• b) 0
• c) None of these
• d) Both

Answer: 1

Question:

• a) None of these
• b) 1/5
• c) 1/24
• d) –√ 24

Answer: None of these

Question:

• a) 4
• b) 1
• c) 3
• d) 9

Answer: 4

Question:

• a) e
• b) e³
• c) 1
• d) e²

Answer: e

Question:

• a) 0
• b) –1
• c) 1
• d) 1/2

Answer: 0

Question:

• a)

  

• b)

  

• c) 1
• d) x

Answer:

Question:

(1) –4/3

(2) 0 if n is even

(3)- 3/4 , if n is odd

(4) None of these

• a) 1 and 3 are correct
• b) 1 and 2 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 3 are correct

Question:

(1) a = 6 (2) b = 0
(3) c = 0 (4) The limit=7/40

• a) 1 and 3 are correct
• b) 1 and 2 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 3 are correct

Question:

(1) sin (4380°)  (2) cos (750°)
(3) cos (1500°) (4) sin (–690°)

• a) 1 and 2 are correct
• b) 1 and 3 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 2 are correct

Question:

f (x) =

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

g (x) =

• a) –x²
• b) x⁴
• c) x²
• d) – x⁴

Answer: –x²

Question:

No. of solution of f (x) + g (x) = 0 is

• a) 2
• b) 0
• c) 4
• d) 1

Answer: 2

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question: Statement 1 : when | x | < 1,

Statement 2 : For –1 < x < 1, as x ∞, x²ⁿ →0.

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question:

• a) Statement -1 is False, Statement-2 is True.
• b) Statement -1 is True, Statement-2 is False
• c) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• d) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Answer: Statement -1 is False, Statement-2 is True.