1. If then what is the limit of the sequence 





0 


2. Look at the following grapgh of f^{'}( (x).
Which of the following is true about f? 

f is decreasing of [b,c] 

f is increasing on [c,d] 

f has a local minimum at d 

f has a local extreme value at c. 
3. A three digited library identification card is to be printed from the number 0,1,2,3,4,5 in such a way that the first is nonzero and no number is to be repeated. How many such cards can be printed? 

120 

150 

180 

100 
4. Which one of the following is NOT correct identity? 

sin^{4} cos^{4}x= sin^{2} cos^{2}x 



sin x cos^{2} x  sinx= sin^{3}x 


5. Let What is the value of a if f is continuous at x =1? 

2 

8 

0 

4 
6. The volume of the solid which is generated when the region bounded by and the xaxis from x=0 to x=2 is rotated about the xaxis is equal to 



4 

3 


7. Which of the following is a simplified form of 

2cos x 

Cos^{2}x 

2 sin x 

sin 2x 
8. Suppose divisible by 2. Which of the following has the truth value F on the set of natural numbers? 








9. Which of the following is NOT true about 

The graph off is symmetric with respect to the yaxis 

Range of 

The graph off has no vertical asymptote. 

y= 2 is a horizontal asymptote to the graph of f. 
10. If the line is tangent to the sphere whose equation is: (x + 1) ^{2} + y^{2} + z^{2} =4, then what is the distance of the line from the center of the sphere? 

4 



2 

3 
