Integral CalculusIntegral as Limit of a Sum (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  4 of 4
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Question number: 1
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2012
Question
Consider,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 2
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2014
Question
For a real number let denote the largest integer less than or equal to . The smallest positive integer for which the integer exceed 60 is –
Choices
Choice (4)  Response  

a.  9 

b.  10 

c.  8 

d. 


Question number: 3
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2014
Question
For a real number let denote the largest integer less than or equal to and . Let be a positive integer. Then is equal to –
Choices
Choice (4)  Response  

a.  0 

b. 


c.  1 

d. 


Question number: 4
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2013
Question
Let be a positive integer. For a real number , let denoted the largest integer not exceeding and . Then,
is equal to – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

