Limits & ContinuityContinuity [NEST (National Entrance Screening Test) Mathematics]: Questions 1  9 of 11
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Question number: 1
» Limits & Continuity » Continuity
Question
is equal to , where are resoectively.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 2
» Limits & Continuity » Continuity
Question
Let and where are non–negative real numbers. The value of , if is continuous for all real is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Limits & Continuity » Continuity
Question
Suppose and is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 4
» Limits & Continuity » Continuity
Question
Let . if be continuous for all then is equal to
Choices
Choice (4)  Response  

a.  7  
b. 
 
c. 
 
d.  None of the above 
Question number: 5
» Limits & Continuity » Continuity
Question
is equal to , where
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 6
» Limits & Continuity » Continuity
Question
If the positive integer n is equal to
Choices
Choice (4)  Response  

a.  2  
b.  4  
c.  5  
d.  6 
Question number: 7
» Limits & Continuity » Continuity
Question
If the function be continuous at
Choices
Choice (4)  Response  

a.  6  
b.  3  
c.  12  
d.  All of the above 
Question number: 8
» Limits & Continuity » Continuity
Appeared in Year: 2017
Question
Let the function be defined as
Where for any real number denotes the greatest integer not exceeding t, then f is continuous at
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 9
» Limits & Continuity » Continuity
Question
Let be any function. Define by for all . Then is
Choices
Choice (4)  Response  

a.  Onto is f is onto  
b.  Oneone is f is oneone  
c.  Continuous is f is continuous  
d.  Differentiable is f is differentiable 