BITSAT Mathematics Limits and Derivatives MCQs

Question: The value of 

• a) a₁ + a₂ + ........... + a_n
• b)

  

• c)

  

• d) a₁a₂a₃.......a_n

Answer: a₁a₂a₃.......a_n

Question:

where a > b > 1, is equal to

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

Answer: 1

Question: if  and  = B  then which one of the following is correct?

• a) A =1 and B = 0
• b) A =0 and B = 1
• c) A =0 and B = 0
• d) A =1 and B = 1

Answer: A =1 and B = 0

Question:

 is equal to :

• a) 0
• b) 1
• c)

  

• d) None of these

Answer:

Question: Let f (x) = (x⁵ – 1)(x³+1), g(x) = (x² – 1)(x² – x+1) and let h (x) be such that f(x) = g(x)h(x). Then  is

• a) 0
• b) 1
• c) 3
• d) 5

Answer: 5

Question:

• a) 1/8
• b) 0
• c) 1/32
• d) ∞

Answer: 1/32

Question: Let f (x + y) = f (x) . f (y) for all x, y where f (0) ≠ 0. If f (5) = 2 and f ' (0) = 3, then f ' (5) is equal to –

• a) 6
• b) 0
• c) 1
• d) None of these

Answer: 6

Question: Evaluate 

• a) 1/2
• b) 3/2
• c) 3/4
• d) 1/4

Answer: 3/4

Question: Find the value of 

• a) 1
• b) 2
• c) 3
• d) 5

Answer: 1

Question: If f  is equal to

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Evaluate 

• a) π/2
• b) π
• c) π/4
• d) π/3

Answer: π

Question:

• a) 1/2
• b) 1/5
• c) 0
• d) Infinite

Answer: 1/5

Question: Evaluate 

• a) 0
• b) 1
• c) -1
• d) 

  

Answer:

Question: If y = (1 + x^1/4) (1 + x^1/2) (1 – x^1/4), then dy/dx equals –

• a) -1
• b) 1
• c) x
• d) √x

Answer: -1

Question: The value of 

• a)

  

• b)

  

• c)

  

• d)

  

Answer: