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Limits Assignment Solutions - Droppers
54

Limits Assignment Solutions - Droppers

Mar 28, 2022

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Page 1: Limits Assignment Solutions - Droppers

Limits Assignment Solutions - Droppers

Page 2: Limits Assignment Solutions - Droppers

Q1. Evaluate: .

A

B

C

D

Page 3: Limits Assignment Solutions - Droppers

Solution :

Page 4: Limits Assignment Solutions - Droppers

Q2. Evaluate :

None of these

A

B

C

D

Page 5: Limits Assignment Solutions - Droppers

Solution :

Page 6: Limits Assignment Solutions - Droppers

Q3. equals to _____.

-1

0

1

2

A

B

C

D

Page 7: Limits Assignment Solutions - Droppers

Solution :

Page 8: Limits Assignment Solutions - Droppers

Q4. [.] → denotes greatest integer function.

-9

-12

0

-6

A

B

C

D

Page 9: Limits Assignment Solutions - Droppers

Solution :

Page 10: Limits Assignment Solutions - Droppers

Q5.

JEE-Main 2015, 2013

1

2

A

B

C

D

Page 11: Limits Assignment Solutions - Droppers

Solution :

Page 12: Limits Assignment Solutions - Droppers

Q6. Evaluate

A

B

C

D

Page 13: Limits Assignment Solutions - Droppers

Solution :

Page 14: Limits Assignment Solutions - Droppers

Q7. Evaluate

1

2

A

B

C

D

Page 15: Limits Assignment Solutions - Droppers

Solution :

Page 16: Limits Assignment Solutions - Droppers

Q8. Evaluate

-1

3

A

B

C

D

Page 17: Limits Assignment Solutions - Droppers

Solution :

Page 18: Limits Assignment Solutions - Droppers

-2

-1

None of these

-3

A

B

C

D

Q9. Where [.] denotes the greatest integer

function, is equal to

Page 19: Limits Assignment Solutions - Droppers

Solution :

Page 20: Limits Assignment Solutions - Droppers

Does not exist

A

B

C

D

Q10. is equal to

Page 21: Limits Assignment Solutions - Droppers

Solution :

Page 22: Limits Assignment Solutions - Droppers

0

1

None of these

Does not exist

A

B

C

D

Q11. limx⟶-1([x] + [x]) (where [.] denotes the greatest integer function)

Page 23: Limits Assignment Solutions - Droppers

limx⟶-1([x] + [x])

LHD

limx⟶-1-= - 1 - x =0

RHD

limx⟶-1+= -2 - x = -1

LHD ≠ RHD

Limit does not exist

Solution :

Page 24: Limits Assignment Solutions - Droppers

Q12. Solve

0

1

None of these

2

A

B

C

D

Page 25: Limits Assignment Solutions - Droppers

Solution :

Page 26: Limits Assignment Solutions - Droppers

A

B

C

D

Q13. The value of is

Page 27: Limits Assignment Solutions - Droppers

Solution :

Page 28: Limits Assignment Solutions - Droppers

0

None of these

A

B

C

D

Q14. is equal to

Page 29: Limits Assignment Solutions - Droppers

Solution :

Page 30: Limits Assignment Solutions - Droppers

Solution :

Page 31: Limits Assignment Solutions - Droppers

0

-1

1

A

B

C

D

Q15.

Page 32: Limits Assignment Solutions - Droppers

Solution :

Page 33: Limits Assignment Solutions - Droppers

Q16. Evaluate:

None of these

A

B

C

D

Page 34: Limits Assignment Solutions - Droppers

Solution :

Page 35: Limits Assignment Solutions - Droppers

A

B

C

D

Q17. is equal to

JEE-Main 3rd Sep II 2020

Page 36: Limits Assignment Solutions - Droppers

Solution :

Page 37: Limits Assignment Solutions - Droppers

0

A

B

C

D

Q18. Solve

Page 38: Limits Assignment Solutions - Droppers

Solution :

Page 39: Limits Assignment Solutions - Droppers

Q19. Evaluate:

-1

0

Does not exists

-2

A

B

C

D

Page 40: Limits Assignment Solutions - Droppers

Solution :

Page 41: Limits Assignment Solutions - Droppers

-1

0

Does not exists

-2

A

B

C

D

Q20. is equal to (where [.] represent greatest integer

function)

Page 42: Limits Assignment Solutions - Droppers

Solution :

Page 43: Limits Assignment Solutions - Droppers

Q21. The value of

Integer Type

Page 44: Limits Assignment Solutions - Droppers

Solution :

Page 45: Limits Assignment Solutions - Droppers

Q22. If (n ∈ N) then the value

of n is equal to …….

JEE-Main 2nd Sep I 2020

Integer Type

Page 46: Limits Assignment Solutions - Droppers

Solution :

Page 47: Limits Assignment Solutions - Droppers

Q23. If then the value of n is

Integer Type

Page 48: Limits Assignment Solutions - Droppers

Solution :

Page 49: Limits Assignment Solutions - Droppers

Q24. Evaluate

Integer Type

Page 50: Limits Assignment Solutions - Droppers

Solution :

Page 51: Limits Assignment Solutions - Droppers

Q25. Evaluate

Integer Type

Page 52: Limits Assignment Solutions - Droppers

Solution :

Page 53: Limits Assignment Solutions - Droppers

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Page 54: Limits Assignment Solutions - Droppers