Exam

Exam

1.-Let the sequence: 1, 4, 7, 10, .... Then a100 =


a) 300

b) 298

c) 296

d) None of them


2.- Let the sequence: 8, 4, 2, 1,... Then a10 =


a) 1/64

b) 1/32

c) 1/128

d) None of them


3.- 


a) ∞

b) 0

c) -∞

d) None of them


4.-  


a) ∞

b) 0

c) -∞

d) None of them


5.-   


a) e

b) e-2

c) e-3

d) e-21


6.- Let     . Then the limit of f as x approaches 0 is:


a) 0

b) -2

c) 2

d) None of them


7.- 


a) -4/6

b) 2/3

c) -2/3

d) 0


8.- The asymptotes of the function: ,  are:


a) y = x, x = 0

b) y = x + 1, x = 0

c) y = 0, x = 0

d) None of them


9.- The asymptotes of the function:   , are:


a) y = 0, x = 2

b) y = 1, x = ±2

c) y = 0, x = ±2

d) None of them


10.- Study the continuity of the function:

 


a) f is continuous in R

b) f is continuous in R - {-1,1,2}. In x = -1, f has a jump discontinuity, with jump 2, in x = 1, f has a removable discontinuity and in x = 2, f has an infinite jump discontinuity.

c) f is continuous in R - {-1,2}. In x = -1, f has a jump discontinuity, with jump 2, and in x = 2, f has an infinite jump discontinuity.

d) f is continuous in R - {1,2}. In x = 1, f has a removable discontinuity and in x = 2, f has an infinite jump discontinuity.


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